15x^4+6x^2-18x^3=

Solution for 15x^4+6x^2-18x^3= equation:

Simplifying
15x4 + 6x2 + -18x3 = 0

Reorder the terms:
6x2 + -18x3 + 15x4 = 0

Solving
6x2 + -18x3 + 15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2 + -6x + 5x2) = 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 '(2 + -6x + 5x2)' equal to zero and attempt to solve:

Simplifying
2 + -6x + 5x2 = 0

Solving
2 + -6x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.4 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.2x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.2x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.2x + x2 = 0 + -0.4
-1.2x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.2x + x2 = -0.4

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -0.4 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.36 + -1.2x + x2 = -0.04

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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