x^2+156x+459=0

Solution for x^2+156x+459=0 equation:

Simplifying
x2 + 156x + 459 = 0

Reorder the terms:
459 + 156x + x2 = 0

Solving
459 + 156x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(153 + x)' equal to zero and attempt to solve:

Simplifying
153 + x = 0

Solving
153 + x = 0

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

Add '-153' to each side of the equation.
153 + -153 + x = 0 + -153

Combine like terms: 153 + -153 = 0
0 + x = 0 + -153
x = 0 + -153

Combine like terms: 0 + -153 = -153
x = -153

Simplifying
x = -153
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 = {-153, -3}