-6x^3+3x^2-10x=0

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Solution for -6x^3+3x^2-10x=0 equation: 


Simplifying
-6x3 + 3x2 + -10x = 0

Reorder the terms:
-10x + 3x2 + -6x3 = 0

Solving
-10x + 3x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + 3x + -6x2) = 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 '(-10 + 3x + -6x2)' equal to zero and attempt to solve:

Simplifying
-10 + 3x + -6x2 = 0

Solving
-10 + 3x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.666666667 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.5x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.5x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.5x + x2 = 0 + -1.666666667
-0.5x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.5x + x2 = -1.666666667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.666666667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.666666667 + 0.0625

Combine like terms: -1.666666667 + 0.0625 = -1.604166667
0.0625 + -0.5x + x2 = -1.604166667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.604166667

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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