(2x-3)*(-6-4x)=

Solution for (2x-3)*(-6-4x)= equation:

Simplifying
(2x + -3)(-6 + -4x) = 0

Reorder the terms:
(-3 + 2x)(-6 + -4x) = 0

Multiply (-3 + 2x) * (-6 + -4x)
(-3(-6 + -4x) + 2x * (-6 + -4x)) = 0
((-6 * -3 + -4x * -3) + 2x * (-6 + -4x)) = 0
((18 + 12x) + 2x * (-6 + -4x)) = 0
(18 + 12x + (-6 * 2x + -4x * 2x)) = 0
(18 + 12x + (-12x + -8x2)) = 0

Combine like terms: 12x + -12x = 0
(18 + 0 + -8x2) = 0
(18 + -8x2) = 0

Solving
18 + -8x2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -8x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8x2 = 0 + -18
-8x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-8x2 = -18

Divide each side by '-8'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}