x^2+56x+460=0

Solution for x^2+56x+460=0 equation:

Simplifying
x2 + 56x + 460 = 0

Reorder the terms:
460 + 56x + x2 = 0

Solving
460 + 56x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(46 + x)(10 + x) = 0

Subproblem 1
Set the factor '(46 + x)' equal to zero and attempt to solve:

Simplifying
46 + x = 0

Solving
46 + x = 0

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

Add '-46' to each side of the equation.
46 + -46 + x = 0 + -46

Combine like terms: 46 + -46 = 0
0 + x = 0 + -46
x = 0 + -46

Combine like terms: 0 + -46 = -46
x = -46

Simplifying
x = -46
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-46, -10}