(5x^2+108)(x)=0

Solution for (5x^2+108)(x)=0 equation:

Simplifying
(5x2 + 108)(x) = 0

Reorder the terms:
(108 + 5x2)(x) = 0

Reorder the terms for easier multiplication:
x(108 + 5x2) = 0
(108 * x + 5x2 * x) = 0
(108x + 5x3) = 0

Solving
108x + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(108 + 5x2) = 0

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 '(108 + 5x2)' equal to zero and attempt to solve:

Simplifying
108 + 5x2 = 0

Solving
108 + 5x2 = 0

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

Add '-108' to each side of the equation.
108 + -108 + 5x2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 5x2 = 0 + -108
5x2 = 0 + -108

Combine like terms: 0 + -108 = -108
5x2 = -108

Divide each side by '5'.
x2 = -21.6

Simplifying
x2 = -21.6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}