x^2+62x+952=0

Solution for x^2+62x+952=0 equation:

Simplifying
x2 + 62x + 952 = 0

Reorder the terms:
952 + 62x + x2 = 0

Solving
952 + 62x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(34 + x)(28 + x) = 0

Subproblem 1
Set the factor '(34 + x)' equal to zero and attempt to solve:

Simplifying
34 + x = 0

Solving
34 + x = 0

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

Add '-34' to each side of the equation.
34 + -34 + x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + x = 0 + -34
x = 0 + -34

Combine like terms: 0 + -34 = -34
x = -34

Simplifying
x = -34
Subproblem 2
Set the factor '(28 + x)' equal to zero and attempt to solve:

Simplifying
28 + x = 0

Solving
28 + x = 0

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

Add '-28' to each side of the equation.
28 + -28 + x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + x = 0 + -28
x = 0 + -28

Combine like terms: 0 + -28 = -28
x = -28

Simplifying
x = -28
Solution
x = {-34, -28}