x^2+59x+168=0

Solution for x^2+59x+168=0 equation:

Simplifying
x2 + 59x + 168 = 0

Reorder the terms:
168 + 59x + x2 = 0

Solving
168 + 59x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(56 + x)(3 + x) = 0

Subproblem 1
Set the factor '(56 + x)' equal to zero and attempt to solve:

Simplifying
56 + x = 0

Solving
56 + x = 0

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

Add '-56' to each side of the equation.
56 + -56 + x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + x = 0 + -56
x = 0 + -56

Combine like terms: 0 + -56 = -56
x = -56

Simplifying
x = -56
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 = {-56, -3}