x^2+7x+6=6

Solution for x^2+7x+6=6 equation:

Simplifying
x2 + 7x + 6 = 6

Reorder the terms:
6 + 7x + x2 = 6

Add '-6' to each side of the equation.
6 + 7x + -6 + x2 = 6 + -6

Reorder the terms:
6 + -6 + 7x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 7x + x2 = 6 + -6
7x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
7x + x2 = 0

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -7}