(h-1)(h+5)=0

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Solution for (h-1)(h+5)=0 equation:


Simplifying
(h + -1)(h + 5) = 0

Reorder the terms:
(-1 + h)(h + 5) = 0

Reorder the terms:
(-1 + h)(5 + h) = 0

Multiply (-1 + h) * (5 + h)
(-1(5 + h) + h(5 + h)) = 0
((5 * -1 + h * -1) + h(5 + h)) = 0
((-5 + -1h) + h(5 + h)) = 0
(-5 + -1h + (5 * h + h * h)) = 0
(-5 + -1h + (5h + h2)) = 0

Combine like terms: -1h + 5h = 4h
(-5 + 4h + h2) = 0

Solving
-5 + 4h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(1 + -1h) = 0

Subproblem 1

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 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

Solution

h = {-5, 1}

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