(x-8)(x+6)=6x

Simple and best practice solution for (x-8)(x+6)=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-8)(x+6)=6x equation: 


Simplifying
(x + -8)(x + 6) = 6x

Reorder the terms:
(-8 + x)(x + 6) = 6x

Reorder the terms:
(-8 + x)(6 + x) = 6x

Multiply (-8 + x) * (6 + x)
(-8(6 + x) + x(6 + x)) = 6x
((6 * -8 + x * -8) + x(6 + x)) = 6x
((-48 + -8x) + x(6 + x)) = 6x
(-48 + -8x + (6 * x + x * x)) = 6x
(-48 + -8x + (6x + x2)) = 6x

Combine like terms: -8x + 6x = -2x
(-48 + -2x + x2) = 6x

Solving
-48 + -2x + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-48 + -2x + -6x + x2 = 6x + -6x

Combine like terms: -2x + -6x = -8x
-48 + -8x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-48 + -8x + x2 = 0

Factor a trinomial.
(-4 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-4, 12}

See similar equations:

| y=(x+1)(x-1-2i) | | x+2x=231 | | 3x^2+2-10=0 | | 3x^2+1-10=0 | | 3x^2+0-10=0 | | (x+2)(x^2-2x+4)=16 | | 5x-x=2x+18 | | 4x+1-2x+4=8x+8-x+1 | | 3+g=9 | | 3x^2-1-10=0 | | 8-7x-4=-21+5x-11 | | 11+(-18)+(-11)+18= | | 1(10-2x)=6(x-5) | | 5x+3x+5=8 | | 0=-16+48t | | 3w+2m=520 | | 5(3x)=30 | | 3mx-7m=2x | | 2z(z+2)=z^2+21 | | -3w+2w+5=-7 | | 3*(-8)=asghnj | | 3(7x-4)=6(4x-10) | | -9*1=x | | 4(7-8x)-5=-17 | | 6p-5p-5=-8-2p+24 | | 3(4d-8)=17-6d | | x+(x+2)=2(x+(x+2)) | | 113x+65=11 | | -6y=6x-16 | | 3u=2u-4 | | 5x+3x+8= | | -6=6x-16 |

Equations solver categories