(x-2)(2x-3x-2)=

Solution for (x-2)(2x-3x-2)= equation:

Simplifying
(x + -2)(2x + -3x + -2) = 0

Reorder the terms:
(-2 + x)(2x + -3x + -2) = 0

Reorder the terms:
(-2 + x)(-2 + 2x + -3x) = 0

Combine like terms: 2x + -3x = -1x
(-2 + x)(-2 + -1x) = 0

Multiply (-2 + x) * (-2 + -1x)
(-2(-2 + -1x) + x(-2 + -1x)) = 0
((-2 * -2 + -1x * -2) + x(-2 + -1x)) = 0
((4 + 2x) + x(-2 + -1x)) = 0
(4 + 2x + (-2 * x + -1x * x)) = 0
(4 + 2x + (-2x + -1x2)) = 0

Combine like terms: 2x + -2x = 0
(4 + 0 + -1x2) = 0
(4 + -1x2) = 0

Solving
4 + -1x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x2 = 0 + -4
-1x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}