6+x(4x)=126

Solution for 6+x(4x)=126 equation:

Simplifying
6 + x(4x) = 126

Remove parenthesis around (4x)
6 + x * 4x = 126

Reorder the terms for easier multiplication:
6 + 4x * x = 126

Multiply x * x
6 + 4x2 = 126

Solving
6 + 4x2 = 126

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x2 = 126 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 = 126 + -6
4x2 = 126 + -6

Combine like terms: 126 + -6 = 120
4x2 = 120

Divide each side by '4'.
x2 = 30

Simplifying
x2 = 30

Take the square root of each side:
x = {-5.477225575, 5.477225575}