(3x)4x+45=156

Solution for (3x)4x+45=156 equation:

Simplifying
(3x) * 4x + 45 = 156

Remove parenthesis around (3x)
3x * 4x + 45 = 156

Reorder the terms for easier multiplication:
3 * 4x * x + 45 = 156

Multiply 3 * 4
12x * x + 45 = 156

Multiply x * x
12x2 + 45 = 156

Reorder the terms:
45 + 12x2 = 156

Solving
45 + 12x2 = 156

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 12x2 = 156 + -45

Combine like terms: 45 + -45 = 0
0 + 12x2 = 156 + -45
12x2 = 156 + -45

Combine like terms: 156 + -45 = 111
12x2 = 111

Divide each side by '12'.
x2 = 9.25

Simplifying
x2 = 9.25

Take the square root of each side:
x = {-3.041381265, 3.041381265}