6+2x(x+3)=2x^2

Solution for 6+2x(x+3)=2x^2 equation:

Simplifying
6 + 2x(x + 3) = 2x2

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

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

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

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

Solving
6 + 6x = 0

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 + 6x = 0 + -6

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

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

Divide each side by '6'.
x = -1

Simplifying
x = -1