h(6h-5)(h+5)=0

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Solution for h(6h-5)(h+5)=0 equation:


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

Reorder the terms:
h(-5 + 6h)(h + 5) = 0

Reorder the terms:
h(-5 + 6h)(5 + h) = 0

Multiply (-5 + 6h) * (5 + h)
h(-5(5 + h) + 6h * (5 + h)) = 0
h((5 * -5 + h * -5) + 6h * (5 + h)) = 0
h((-25 + -5h) + 6h * (5 + h)) = 0
h(-25 + -5h + (5 * 6h + h * 6h)) = 0
h(-25 + -5h + (30h + 6h2)) = 0

Combine like terms: -5h + 30h = 25h
h(-25 + 25h + 6h2) = 0
(-25 * h + 25h * h + 6h2 * h) = 0
(-25h + 25h2 + 6h3) = 0

Solving
-25h + 25h2 + 6h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(-25 + 25h + 6h2) = 0

Factor a trinomial.
h((-5 + -1h)(5 + -6h)) = 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 '(-5 + -1h)' equal to zero and attempt to solve: Simplifying -5 + -1h = 0 Solving -5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1h = 0 + 5 -1h = 0 + 5 Combine like terms: 0 + 5 = 5 -1h = 5 Divide each side by '-1'. h = -5 Simplifying h = -5

Subproblem 3

Set the factor '(5 + -6h)' equal to zero and attempt to solve: Simplifying 5 + -6h = 0 Solving 5 + -6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6h = 0 + -5 -6h = 0 + -5 Combine like terms: 0 + -5 = -5 -6h = -5 Divide each side by '-6'. h = 0.8333333333 Simplifying h = 0.8333333333

Solution

h = {0, -5, 0.8333333333}

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