2h^3+2h^2t-4ht^2=

Solution for 2h^3+2h^2t-4ht^2= equation:

Simplifying
2h3 + 2h2t + -4ht2 = 0

Reorder the terms:
-4ht2 + 2h2t + 2h3 = 0

Solving
-4ht2 + 2h2t + 2h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-2t2 + ht + h2) = 0

Factor a trinomial.
2h((-2t + -1h)(t + -1h)) = 0

Ignore the factor 2.
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 '(-2t + -1h)' equal to zero and attempt to solve:

Simplifying
-2t + -1h = 0

Reorder the terms:
-1h + -2t = 0

Solving
-1h + -2t = 0

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

Add '2t' to each side of the equation.
-1h + -2t + 2t = 0 + 2t

Combine like terms: -2t + 2t = 0
-1h + 0 = 0 + 2t
-1h = 0 + 2t
Remove the zero:
-1h = 2t

Divide each side by '-1'.
h = -2t

Simplifying
h = -2t
Subproblem 3
Set the factor '(t + -1h)' equal to zero and attempt to solve:

Simplifying
t + -1h = 0

Reorder the terms:
-1h + t = 0

Solving
-1h + t = 0

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

Add '-1t' to each side of the equation.
-1h + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
-1h + 0 = 0 + -1t
-1h = 0 + -1t
Remove the zero:
-1h = -1t

Divide each side by '-1'.
h = t

Simplifying
h = t
Solution
h = {0, -2t, t}