2x^2+6x=x^2

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

Simplifying
2x2 + 6x = x2

Reorder the terms:
6x + 2x2 = x2

Solving
6x + 2x2 = x2

Solving for variable 'x'.

Combine like terms: 2x2 + -1x2 = 1x2
6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + x) = 0

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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {0, -6}