24×2-12x=0

Factor 12x out of 24×2.

12x(2x)-12x=0

Factor 12x out of -12x.

12x(2x)+12x(-1)=0

Factor 12x out of 12x(2x)+12x(-1).

12x(2x-1)=0

12x(2x-1)=0

Divide each term in 12x(2x-1)=0 by 12.

12x(2x-1)12=012

Simplify 12x(2x-1)12.

Simplify terms.

Cancel the common factor of 12.

Cancel the common factor.

12x(2x-1)12=012

Divide x(2x-1) by 1.

x(2x-1)=012

x(2x-1)=012

Apply the distributive property.

x(2x)+x⋅-1=012

Reorder.

Rewrite using the commutative property of multiplication.

2x⋅x+x⋅-1=012

Move -1 to the left of x.

2x⋅x-1⋅x=012

2x⋅x-1⋅x=012

2x⋅x-1⋅x=012

Simplify each term.

Multiply x by x by adding the exponents.

Move x.

2(x⋅x)-1⋅x=012

Multiply x by x.

2×2-1⋅x=012

2×2-1⋅x=012

Rewrite -1x as -x.

2×2-x=012

2×2-x=012

2×2-x=012

Divide 0 by 12.

2×2-x=0

2×2-x=0

Factor x out of 2×2.

x(2x)-x=0

Factor x out of -x.

x(2x)+x⋅-1=0

Factor x out of x(2x)+x⋅-1.

x(2x-1)=0

x(2x-1)=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=0

2x-1=0

Set the first factor equal to 0.

x=0

Set the next factor equal to 0.

2x-1=0

Add 1 to both sides of the equation.

2x=1

Divide each term by 2 and simplify.

Divide each term in 2x=1 by 2.

2×2=12

Cancel the common factor of 2.

Cancel the common factor.

2×2=12

Divide x by 1.

x=12

x=12

x=12

x=12

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

x=0,12

Solve Using the Square Root Property 24x^2-12x=0