(x-10)(x+12)=x^2-6x

Simple and best practice solution for (x-10)(x+12)=x^2-6x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x-10)(x+12)=x^2-6x equation: 


Simplifying
(x + -10)(x + 12) = x2 + -6x

Reorder the terms:
(-10 + x)(x + 12) = x2 + -6x

Reorder the terms:
(-10 + x)(12 + x) = x2 + -6x

Multiply (-10 + x) * (12 + x)
(-10(12 + x) + x(12 + x)) = x2 + -6x
((12 * -10 + x * -10) + x(12 + x)) = x2 + -6x
((-120 + -10x) + x(12 + x)) = x2 + -6x
(-120 + -10x + (12 * x + x * x)) = x2 + -6x
(-120 + -10x + (12x + x2)) = x2 + -6x

Combine like terms: -10x + 12x = 2x
(-120 + 2x + x2) = x2 + -6x

Reorder the terms:
-120 + 2x + x2 = -6x + x2

Add '-1x2' to each side of the equation.
-120 + 2x + x2 + -1x2 = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-120 + 2x + 0 = -6x + x2 + -1x2
-120 + 2x = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-120 + 2x = -6x + 0
-120 + 2x = -6x

Solving
-120 + 2x = -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-120 + 2x + 6x = -6x + 6x

Combine like terms: 2x + 6x = 8x
-120 + 8x = -6x + 6x

Combine like terms: -6x + 6x = 0
-120 + 8x = 0

Add '120' to each side of the equation.
-120 + 120 + 8x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + 8x = 0 + 120
8x = 0 + 120

Combine like terms: 0 + 120 = 120
8x = 120

Divide each side by '8'.
x = 15

Simplifying
x = 15

See similar equations:

| 2x+8=-8-2x | | 13x+14+7x-21+11x+4+13x+11=360 | | 13x+14+7x-21+11x+4+13x+11=180 | | 3{x+5}=x+19 | | 3(9-5w)=2 | | Y=3cos(4x) | | x^3+7=20 | | 540t=16t^2 | | 14-6x=8-8x | | -10x+4(-2x)-14=-20 | | 6x+9+15x-15=360 | | 2x+8=-8-8x | | 12b+7c-8(a-b)= | | 14-3x=28-5x | | 6x^3-19x^2+2x+3=0 | | 4b-2(3c-2b)= | | 4x-8=6x-15 | | 8x+10y=260 | | (4-z)(4z+3)=0 | | 6(c-2b)+4c= | | 4(2c-b)+6b= | | (v+6)(v-2)= | | x^2+4x+12=6y-y^2 | | 6u-2u+4= | | 7b+2a-c+5a= | | 3(1+3p)+9=3(p+10) | | x+{x+14}={x+5}+3{x+5} | | 2x-11=-85-10x | | 5a-6(3b+2c)= | | -18+2x=0 | | 0=9(k-.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333)+33 | | x-5.9=28.5 |

Equations solver categories