4*(x^3)-15*(x^2)+18x=0

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Solution for 4*(x^3)-15*(x^2)+18x=0 equation: 


Simplifying
4(x3) + -15(x2) + 18x = 0

Reorder the terms:
18x + -15x2 + 4x3 = 0

Solving
18x + -15x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(18 + -15x + 4x2) = 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 '(18 + -15x + 4x2)' equal to zero and attempt to solve:

Simplifying
18 + -15x + 4x2 = 0

Solving
18 + -15x + 4x2 = 0

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

Divide each side by '4'.
4.5 + -3.75x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -3.75x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -3.75x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -3.75x + x2 = 0 + -4.5
-3.75x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-3.75x + x2 = -4.5

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = -4.5 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = -4.5 + 3.515625

Combine like terms: -4.5 + 3.515625 = -0.984375
3.515625 + -3.75x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = -0.984375

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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