-12x^3+7x^2-15x=0

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Solution for -12x^3+7x^2-15x=0 equation: 


Simplifying
-12x3 + 7x2 + -15x = 0

Reorder the terms:
-15x + 7x2 + -12x3 = 0

Solving
-15x + 7x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 7x + -12x2) = 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 '(-15 + 7x + -12x2)' equal to zero and attempt to solve:

Simplifying
-15 + 7x + -12x2 = 0

Solving
-15 + 7x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
1.25 + -0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.5833333333x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.5833333333x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.5833333333x + x2 = 0 + -1.25
-0.5833333333x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.5833333333x + x2 = -1.25

The x term is -0.5833333333x.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333x + 0.08506944446 + x2 = -1.25 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333x + x2 = -1.25 + 0.08506944446

Combine like terms: -1.25 + 0.08506944446 = -1.16493055554
0.08506944446 + -0.5833333333x + x2 = -1.16493055554

Factor a perfect square on the left side:
(x + -0.2916666667)(x + -0.2916666667) = -1.16493055554

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}

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