100x^2+1000x=-900

Solution for 100x^2+1000x=-900 equation:

Simplifying
100x2 + 1000x = -900

Reorder the terms:
1000x + 100x2 = -900

Solving
1000x + 100x2 = -900

Solving for variable 'x'.

Reorder the terms:
900 + 1000x + 100x2 = -900 + 900

Combine like terms: -900 + 900 = 0
900 + 1000x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(9 + 10x + x2) = 0

Factor a trinomial.
100((9 + x)(1 + x)) = 0

Ignore the factor 100.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-9, -1}