27x(2x+4x)+12=500

Solution for 27x(2x+4x)+12=500 equation:

Simplifying
27x(2x + 4x) + 12 = 500

Combine like terms: 2x + 4x = 6x
27x(6x) + 12 = 500

Remove parenthesis around (6x)
27x * 6x + 12 = 500

Reorder the terms for easier multiplication:
27 * 6x * x + 12 = 500

Multiply 27 * 6
162x * x + 12 = 500

Multiply x * x
162x2 + 12 = 500

Reorder the terms:
12 + 162x2 = 500

Solving
12 + 162x2 = 500

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 162x2 = 500 + -12

Combine like terms: 12 + -12 = 0
0 + 162x2 = 500 + -12
162x2 = 500 + -12

Combine like terms: 500 + -12 = 488
162x2 = 488

Divide each side by '162'.
x2 = 3.012345679

Simplifying
x2 = 3.012345679

Take the square root of each side:
x = {-1.735611039, 1.735611039}