-2x(3x-1)=x^2+2x

Solution for -2x(3x-1)=x^2+2x equation:

Simplifying
-2x(3x + -1) = x2 + 2x

Reorder the terms:
-2x(-1 + 3x) = x2 + 2x
(-1 * -2x + 3x * -2x) = x2 + 2x
(2x + -6x2) = x2 + 2x

Reorder the terms:
2x + -6x2 = 2x + x2

Add '-2x' to each side of the equation.
2x + -2x + -6x2 = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
0 + -6x2 = 2x + -2x + x2
-6x2 = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
-6x2 = 0 + x2
-6x2 = x2

Solving
-6x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-6x2 + -1x2 = x2 + -1x2

Combine like terms: -6x2 + -1x2 = -7x2
-7x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x2 = 0

Divide each side by '-7'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}