x^2+59x+564=0

Solution for x^2+59x+564=0 equation:

Simplifying
x2 + 59x + 564 = 0

Reorder the terms:
564 + 59x + x2 = 0

Solving
564 + 59x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(47 + x)(12 + x) = 0

Subproblem 1
Set the factor '(47 + x)' equal to zero and attempt to solve:

Simplifying
47 + x = 0

Solving
47 + x = 0

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

Add '-47' to each side of the equation.
47 + -47 + x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + x = 0 + -47
x = 0 + -47

Combine like terms: 0 + -47 = -47
x = -47

Simplifying
x = -47
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {-47, -12}