75h^3-6h^2+12h=

Solution for 75h^3-6h^2+12h= equation:

Simplifying
75h3 + -6h2 + 12h = 0

Reorder the terms:
12h + -6h2 + 75h3 = 0

Solving
12h + -6h2 + 75h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3h'.
3h(4 + -2h + 25h2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

Move all terms containing h to the left, all other terms to the right.

Simplifying
h = 0
Subproblem 2
Set the factor '(4 + -2h + 25h2)' equal to zero and attempt to solve:

Simplifying
4 + -2h + 25h2 = 0

Solving
4 + -2h + 25h2 = 0

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

Divide each side by '25'.
0.16 + -0.08h + h2 = 0

Move the constant term to the right:

Add '-0.16' to each side of the equation.
0.16 + -0.08h + -0.16 + h2 = 0 + -0.16

Reorder the terms:
0.16 + -0.16 + -0.08h + h2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.08h + h2 = 0 + -0.16
-0.08h + h2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
-0.08h + h2 = -0.16

The h term is -0.08h.  Take half its coefficient (-0.04).
Square it (0.0016) and add it to both sides.

Add '0.0016' to each side of the equation.
-0.08h + 0.0016 + h2 = -0.16 + 0.0016

Reorder the terms:
0.0016 + -0.08h + h2 = -0.16 + 0.0016

Combine like terms: -0.16 + 0.0016 = -0.1584
0.0016 + -0.08h + h2 = -0.1584

Factor a perfect square on the left side:
(h + -0.04)(h + -0.04) = -0.1584

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
h = {0}