(x-2)(x+8)=6x

Solution for (x-2)(x+8)=6x equation:

Simplifying
(x + -2)(x + 8) = 6x

Reorder the terms:
(-2 + x)(x + 8) = 6x

Reorder the terms:
(-2 + x)(8 + x) = 6x

Multiply (-2 + x) * (8 + x)
(-2(8 + x) + x(8 + x)) = 6x
((8 * -2 + x * -2) + x(8 + x)) = 6x
((-16 + -2x) + x(8 + x)) = 6x
(-16 + -2x + (8 * x + x * x)) = 6x
(-16 + -2x + (8x + x2)) = 6x

Combine like terms: -2x + 8x = 6x
(-16 + 6x + x2) = 6x

Add '-6x' to each side of the equation.
-16 + 6x + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + 0 + x2 = 6x + -6x
-16 + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + x2 = 0

Solving
-16 + x2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x2 = 0 + 16
x2 = 0 + 16

Combine like terms: 0 + 16 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}