(-2h)(h^2+5h-6)=

Solution for (-2h)(h^2+5h-6)= equation:

Simplifying
(-2h)(h2 + 5h + -6) = 0

Remove parenthesis around (-2h)
-2h(h2 + 5h + -6) = 0

Reorder the terms:
-2h(-6 + 5h + h2) = 0
(-6 * -2h + 5h * -2h + h2 * -2h) = 0
(12h + -10h2 + -2h3) = 0

Solving
12h + -10h2 + -2h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(6 + -5h + -1h2) = 0

Factor a trinomial.
2h((1 + -1h)(6 + h)) = 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 '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

Solving
1 + -1h = 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 + -1h = 0 + -1

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

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

Divide each side by '-1'.
h = 1

Simplifying
h = 1
Subproblem 3
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
Solution
h = {0, 1, -6}