24×2+44x=8

Move 8 to the left side of the equation by subtracting it from both sides.

24×2+44x-8=0

Factor 4 out of 24×2+44x-8.

Factor 4 out of 24×2.

4(6×2)+44x-8=0

Factor 4 out of 44x.

4(6×2)+4(11x)-8=0

Factor 4 out of -8.

4(6×2)+4(11x)+4(-2)=0

Factor 4 out of 4(6×2)+4(11x).

4(6×2+11x)+4(-2)=0

Factor 4 out of 4(6×2+11x)+4(-2).

4(6×2+11x-2)=0

4(6×2+11x-2)=0

Factor.

Factor by grouping.

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-2=-12 and whose sum is b=11.

Factor 11 out of 11x.

4(6×2+11(x)-2)=0

Rewrite 11 as -1 plus 12

4(6×2+(-1+12)x-2)=0

Apply the distributive property.

4(6×2-1x+12x-2)=0

4(6×2-1x+12x-2)=0

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

4((6×2-1x)+12x-2)=0

Factor out the greatest common factor (GCF) from each group.

4(x(6x-1)+2(6x-1))=0

4(x(6x-1)+2(6x-1))=0

Factor the polynomial by factoring out the greatest common factor, 6x-1.

4((6x-1)(x+2))=0

4((6x-1)(x+2))=0

Remove unnecessary parentheses.

4(6x-1)(x+2)=0

4(6x-1)(x+2)=0

4(6x-1)(x+2)=0

Divide each term in 4(6x-1)(x+2)=0 by 4.

4(6x-1)(x+2)4=04

Simplify 4(6x-1)(x+2)4.

Cancel the common factor of 4.

Cancel the common factor.

4(6x-1)(x+2)4=04

Divide (6x-1)(x+2) by 1.

(6x-1)(x+2)=04

(6x-1)(x+2)=04

Expand (6x-1)(x+2) using the FOIL Method.

Apply the distributive property.

6x(x+2)-1(x+2)=04

Apply the distributive property.

6x⋅x+6x⋅2-1(x+2)=04

Apply the distributive property.

6x⋅x+6x⋅2-1x-1⋅2=04

6x⋅x+6x⋅2-1x-1⋅2=04

Simplify and combine like terms.

Simplify each term.

Multiply x by x by adding the exponents.

Move x.

6(x⋅x)+6x⋅2-1x-1⋅2=04

Multiply x by x.

6×2+6x⋅2-1x-1⋅2=04

6×2+6x⋅2-1x-1⋅2=04

Multiply 2 by 6.

6×2+12x-1x-1⋅2=04

Rewrite -1x as -x.

6×2+12x-x-1⋅2=04

Multiply -1 by 2.

6×2+12x-x-2=04

6×2+12x-x-2=04

Subtract x from 12x.

6×2+11x-2=04

6×2+11x-2=04

6×2+11x-2=04

Divide 0 by 4.

6×2+11x-2=0

6×2+11x-2=0

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-2=-12 and whose sum is b=11.

Factor 11 out of 11x.

6×2+11(x)-2=0

Rewrite 11 as -1 plus 12

6×2+(-1+12)x-2=0

Apply the distributive property.

6×2-1x+12x-2=0

6×2-1x+12x-2=0

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(6×2-1x)+12x-2=0

Factor out the greatest common factor (GCF) from each group.

x(6x-1)+2(6x-1)=0

x(6x-1)+2(6x-1)=0

Factor the polynomial by factoring out the greatest common factor, 6x-1.

(6x-1)(x+2)=0

(6x-1)(x+2)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

6x-1=0

x+2=0

Set the first factor equal to 0.

6x-1=0

Add 1 to both sides of the equation.

6x=1

Divide each term by 6 and simplify.

Divide each term in 6x=1 by 6.

6×6=16

Cancel the common factor of 6.

Cancel the common factor.

6×6=16

Divide x by 1.

x=16

x=16

x=16

x=16

Set the next factor equal to 0.

x+2=0

Subtract 2 from both sides of the equation.

x=-2

x=-2

The final solution is all the values that make (6x-1)(x+2)=0 true.

x=16,-2

Solve Using the Square Root Property 24x^2+44x=8