x^2+450x+45000=0

Solution for x^2+450x+45000=0 equation:

Simplifying
x2 + 450x + 45000 = 0

Reorder the terms:
45000 + 450x + x2 = 0

Solving
45000 + 450x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(300 + x)(150 + x) = 0

Subproblem 1
Set the factor '(300 + x)' equal to zero and attempt to solve:

Simplifying
300 + x = 0

Solving
300 + x = 0

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

Add '-300' to each side of the equation.
300 + -300 + x = 0 + -300

Combine like terms: 300 + -300 = 0
0 + x = 0 + -300
x = 0 + -300

Combine like terms: 0 + -300 = -300
x = -300

Simplifying
x = -300
Subproblem 2
Set the factor '(150 + x)' equal to zero and attempt to solve:

Simplifying
150 + x = 0

Solving
150 + x = 0

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

Add '-150' to each side of the equation.
150 + -150 + x = 0 + -150

Combine like terms: 150 + -150 = 0
0 + x = 0 + -150
x = 0 + -150

Combine like terms: 0 + -150 = -150
x = -150

Simplifying
x = -150
Solution
x = {-300, -150}