(3x+6)*(2x-4)=94

Solution for (3x+6)*(2x-4)=94 equation:

Simplifying
(3x + 6)(2x + -4) = 94

Reorder the terms:
(6 + 3x)(2x + -4) = 94

Reorder the terms:
(6 + 3x)(-4 + 2x) = 94

Multiply (6 + 3x) * (-4 + 2x)
(6(-4 + 2x) + 3x * (-4 + 2x)) = 94
((-4 * 6 + 2x * 6) + 3x * (-4 + 2x)) = 94
((-24 + 12x) + 3x * (-4 + 2x)) = 94
(-24 + 12x + (-4 * 3x + 2x * 3x)) = 94
(-24 + 12x + (-12x + 6x2)) = 94

Combine like terms: 12x + -12x = 0
(-24 + 0 + 6x2) = 94
(-24 + 6x2) = 94

Solving
-24 + 6x2 = 94

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 6x2 = 94 + 24

Combine like terms: -24 + 24 = 0
0 + 6x2 = 94 + 24
6x2 = 94 + 24

Combine like terms: 94 + 24 = 118
6x2 = 118

Divide each side by '6'.
x2 = 19.66666667

Simplifying
x2 = 19.66666667

Take the square root of each side:
x = {-4.434711566, 4.434711566}