x^2+100x+900=0

Solution for x^2+100x+900=0 equation:

Simplifying
x2 + 100x + 900 = 0

Reorder the terms:
900 + 100x + x2 = 0

Solving
900 + 100x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(90 + x)' equal to zero and attempt to solve:

Simplifying
90 + x = 0

Solving
90 + x = 0

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

Add '-90' to each side of the equation.
90 + -90 + x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + x = 0 + -90
x = 0 + -90

Combine like terms: 0 + -90 = -90
x = -90

Simplifying
x = -90
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 = {-90, -10}