2x^2+10x+6=6

Solution for 2x^2+10x+6=6 equation:

Simplifying
2x2 + 10x + 6 = 6

Reorder the terms:
6 + 10x + 2x2 = 6

Add '-6' to each side of the equation.
6 + 10x + -6 + 2x2 = 6 + -6

Reorder the terms:
6 + -6 + 10x + 2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 10x + 2x2 = 6 + -6
10x + 2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
10x + 2x2 = 0

Solving
10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0, -5}