-40x^3+12x^2-9x=0

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Solution for -40x^3+12x^2-9x=0 equation: 


Simplifying
-40x3 + 12x2 + -9x = 0

Reorder the terms:
-9x + 12x2 + -40x3 = 0

Solving
-9x + 12x2 + -40x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 12x + -40x2) = 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 '(-9 + 12x + -40x2)' equal to zero and attempt to solve:

Simplifying
-9 + 12x + -40x2 = 0

Solving
-9 + 12x + -40x2 = 0

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
0.225 + -0.3x + x2 = 0

Move the constant term to the right:

Add '-0.225' to each side of the equation.
0.225 + -0.3x + -0.225 + x2 = 0 + -0.225

Reorder the terms:
0.225 + -0.225 + -0.3x + x2 = 0 + -0.225

Combine like terms: 0.225 + -0.225 = 0.000
0.000 + -0.3x + x2 = 0 + -0.225
-0.3x + x2 = 0 + -0.225

Combine like terms: 0 + -0.225 = -0.225
-0.3x + x2 = -0.225

The x term is -0.3x.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3x + 0.0225 + x2 = -0.225 + 0.0225

Reorder the terms:
0.0225 + -0.3x + x2 = -0.225 + 0.0225

Combine like terms: -0.225 + 0.0225 = -0.2025
0.0225 + -0.3x + x2 = -0.2025

Factor a perfect square on the left side:
(x + -0.15)(x + -0.15) = -0.2025

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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