90x+2x^2=0

Solution for 90x+2x^2=0 equation:

Simplifying
90x + 2x2 = 0

Solving
90x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(45 + x) = 0

Ignore the factor 2.
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 '(45 + x)' equal to zero and attempt to solve:

Simplifying
45 + x = 0

Solving
45 + x = 0

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

Add '-45' to each side of the equation.
45 + -45 + x = 0 + -45

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

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

Simplifying
x = -45
Solution
x = {0, -45}