5x^2=-45x

Solution for 5x^2=-45x equation:

Simplifying
5x2 = -45x

Solving
5x2 = -45x

Solving for variable 'x'.

Reorder the terms:
45x + 5x2 = -45x + 45x

Combine like terms: -45x + 45x = 0
45x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(9 + x) = 0

Ignore the factor 5.
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 '(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
Solution
x = {0, -9}