18x^2=15x^5

Solution for 18x^2=15x^5 equation:

Simplifying
18x2 = 15x5

Solving
18x2 = 15x5

Solving for variable 'x'.

Combine like terms: 15x5 + -15x5 = 0
18x2 + -15x5 = 0

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(6 + -5x3) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(6 + -5x3)' equal to zero and attempt to solve:

Simplifying
6 + -5x3 = 0

Solving
6 + -5x3 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x3 = 0 + -6
-5x3 = 0 + -6

Combine like terms: 0 + -6 = -6
-5x3 = -6

Divide each side by '-5'.
x3 = 1.2

Simplifying
x3 = 1.2

The solution to this equation could not be determined.

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