-100x=10x^2

Solution for -100x=10x^2 equation:

Simplifying
-100x = 10x2

Solving
-100x = 10x2

Solving for variable 'x'.

Combine like terms: 10x2 + -10x2 = 0
-100x + -10x2 = 0

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

Ignore the factor -10.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
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 = {0, -10}