2x(x+2x)-6=30

Solution for 2x(x+2x)-6=30 equation:

Simplifying
2x(x + 2x) + -6 = 30

Combine like terms: x + 2x = 3x
2x(3x) + -6 = 30

Remove parenthesis around (3x)
2x * 3x + -6 = 30

Reorder the terms for easier multiplication:
2 * 3x * x + -6 = 30

Multiply 2 * 3
6x * x + -6 = 30

Multiply x * x
6x2 + -6 = 30

Reorder the terms:
-6 + 6x2 = 30

Solving
-6 + 6x2 = 30

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 + 6x2 = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 30 + 6
6x2 = 30 + 6

Combine like terms: 30 + 6 = 36
6x2 = 36

Divide each side by '6'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}