9x^2-15x^3-2x=0

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Solution for 9x^2-15x^3-2x=0 equation: 


Simplifying
9x2 + -15x3 + -2x = 0

Reorder the terms:
-2x + 9x2 + -15x3 = 0

Solving
-2x + 9x2 + -15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 9x + -15x2) = 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 '(-2 + 9x + -15x2)' equal to zero and attempt to solve:

Simplifying
-2 + 9x + -15x2 = 0

Solving
-2 + 9x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.1333333333 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + -0.6x + -0.1333333333 + x2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + -0.6x + x2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + -0.6x + x2 = 0 + -0.1333333333
-0.6x + x2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
-0.6x + x2 = -0.1333333333

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.1333333333 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.1333333333 + 0.09

Combine like terms: -0.1333333333 + 0.09 = -0.0433333333
0.09 + -0.6x + x2 = -0.0433333333

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.0433333333

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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