-6x=2x^2

Solution for -6x=2x^2 equation:

Simplifying
-6x = 2x2

Solving
-6x = 2x2

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(3 + x) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}