h(h+1)(h-1)=0

Solution for h(h+1)(h-1)=0 equation:

Simplifying
h(h + 1)(h + -1) = 0

Reorder the terms:
h(1 + h)(h + -1) = 0

Reorder the terms:
h(1 + h)(-1 + h) = 0

Multiply (1 + h) * (-1 + h)
h(1(-1 + h) + h(-1 + h)) = 0
h((-1 * 1 + h * 1) + h(-1 + h)) = 0
h((-1 + 1h) + h(-1 + h)) = 0
h(-1 + 1h + (-1 * h + h * h)) = 0
h(-1 + 1h + (-1h + h2)) = 0

Combine like terms: 1h + -1h = 0
h(-1 + 0 + h2) = 0
h(-1 + h2) = 0
(-1 * h + h2 * h) = 0
(-1h + h3) = 0

Solving
-1h + h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(-1 + h2) = 0

Factor a difference between two squares.
h((1 + h)(-1 + h)) = 0

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 '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

Solving
1 + h = 0

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

Add '-1' to each side of the equation.
1 + -1 + h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + h = 0 + -1
h = 0 + -1

Combine like terms: 0 + -1 = -1
h = -1

Simplifying
h = -1
Subproblem 3
Set the factor '(-1 + h)' equal to zero and attempt to solve:

Simplifying
-1 + h = 0

Solving
-1 + h = 0

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

Add '1' to each side of the equation.
-1 + 1 + h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + h = 0 + 1
h = 0 + 1

Combine like terms: 0 + 1 = 1
h = 1

Simplifying
h = 1
Solution
h = {0, -1, 1}