2h(-7h^2-4h)=

Solution for 2h(-7h^2-4h)= equation:

Simplifying
2h(-7h2 + -4h) = 0

Reorder the terms:
2h(-4h + -7h2) = 0
(-4h * 2h + -7h2 * 2h) = 0
(-8h2 + -14h3) = 0

Solving
-8h2 + -14h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '-2h2'.
-2h2(4 + 7h) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(4 + 7h)' equal to zero and attempt to solve:

Simplifying
4 + 7h = 0

Solving
4 + 7h = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7h = 0 + -4
7h = 0 + -4

Combine like terms: 0 + -4 = -4
7h = -4

Divide each side by '7'.
h = -0.5714285714

Simplifying
h = -0.5714285714
Solution
h = {0, -0.5714285714}