4x^3-15x^2+25x=0

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Solution for 4x^3-15x^2+25x=0 equation: 


Simplifying
4x3 + -15x2 + 25x = 0

Reorder the terms:
25x + -15x2 + 4x3 = 0

Solving
25x + -15x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + -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 '(25 + -15x + 4x2)' equal to zero and attempt to solve:

Simplifying
25 + -15x + 4x2 = 0

Solving
25 + -15x + 4x2 = 0

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

Divide each side by '4'.
6.25 + -3.75x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -3.75x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -3.75x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -3.75x + x2 = 0 + -6.25
-3.75x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-3.75x + x2 = -6.25

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 = -6.25 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = -6.25 + 3.515625

Combine like terms: -6.25 + 3.515625 = -2.734375
3.515625 + -3.75x + x2 = -2.734375

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = -2.734375

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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