30x^3-24x^2+12x=

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Solution for 30x^3-24x^2+12x= equation: 


Simplifying
30x3 + -24x2 + 12x = 0

Reorder the terms:
12x + -24x2 + 30x3 = 0

Solving
12x + -24x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(2 + -4x + 5x2) = 0

Ignore the factor 6.

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 + -4x + 5x2)' equal to zero and attempt to solve:

Simplifying
2 + -4x + 5x2 = 0

Solving
2 + -4x + 5x2 = 0

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

Divide each side by '5'.
0.4 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.8x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.8x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.8x + x2 = 0 + -0.4
-0.8x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.8x + x2 = -0.4

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -0.4 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
0.16 + -0.8x + x2 = -0.24

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.24

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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