4x^2+52x+168=80

Solution for 4x^2+52x+168=80 equation:

Simplifying
4x2 + 52x + 168 = 80

Reorder the terms:
168 + 52x + 4x2 = 80

Solving
168 + 52x + 4x2 = 80

Solving for variable 'x'.

Reorder the terms:
168 + -80 + 52x + 4x2 = 80 + -80

Combine like terms: 168 + -80 = 88
88 + 52x + 4x2 = 80 + -80

Combine like terms: 80 + -80 = 0
88 + 52x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(22 + 13x + x2) = 0

Factor a trinomial.
4((11 + x)(2 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-11, -2}