Solve using the Square Root Property 2x^2-14x+24=0

Math
2×2-14x+24=0
Factor the left side of the equation.
Tap for more steps…
Factor 2 out of 2×2-14x+24.
Tap for more steps…
Factor 2 out of 2×2.
2(x2)-14x+24=0
Factor 2 out of -14x.
2(x2)+2(-7x)+24=0
Factor 2 out of 24.
2×2+2(-7x)+2⋅12=0
Factor 2 out of 2×2+2(-7x).
2(x2-7x)+2⋅12=0
Factor 2 out of 2(x2-7x)+2⋅12.
2(x2-7x+12)=0
2(x2-7x+12)=0
Factor.
Tap for more steps…
Factor x2-7x+12 using the AC method.
Tap for more steps…
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 12 and whose sum is -7.
-4,-3
Write the factored form using these integers.
2((x-4)(x-3))=0
2((x-4)(x-3))=0
Remove unnecessary parentheses.
2(x-4)(x-3)=0
2(x-4)(x-3)=0
2(x-4)(x-3)=0
Divide each term by 2 and simplify.
Tap for more steps…
Divide each term in 2(x-4)(x-3)=0 by 2.
2(x-4)(x-3)2=02
Simplify 2(x-4)(x-3)2.
Tap for more steps…
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
2(x-4)(x-3)2=02
Divide (x-4)(x-3) by 1.
(x-4)(x-3)=02
(x-4)(x-3)=02
Expand (x-4)(x-3) using the FOIL Method.
Tap for more steps…
Apply the distributive property.
x(x-3)-4(x-3)=02
Apply the distributive property.
x⋅x+x⋅-3-4(x-3)=02
Apply the distributive property.
x⋅x+x⋅-3-4x-4⋅-3=02
x⋅x+x⋅-3-4x-4⋅-3=02
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply x by x.
x2+x⋅-3-4x-4⋅-3=02
Move -3 to the left of x.
x2-3⋅x-4x-4⋅-3=02
Multiply -4 by -3.
x2-3x-4x+12=02
x2-3x-4x+12=02
Subtract 4x from -3x.
x2-7x+12=02
x2-7x+12=02
x2-7x+12=02
Divide 0 by 2.
x2-7x+12=0
x2-7x+12=0
Factor x2-7x+12 using the AC method.
Tap for more steps…
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 12 and whose sum is -7.
-4,-3
Write the factored form using these integers.
(x-4)(x-3)=0
(x-4)(x-3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x-4=0
x-3=0
Set the first factor equal to 0 and solve.
Tap for more steps…
Set the first factor equal to 0.
x-4=0
Add 4 to both sides of the equation.
x=4
x=4
Set the next factor equal to 0 and solve.
Tap for more steps…
Set the next factor equal to 0.
x-3=0
Add 3 to both sides of the equation.
x=3
x=3
The final solution is all the values that make (x-4)(x-3)=0 true.
x=4,3
Solve using the Square Root Property 2x^2-14x+24=0

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top