h^2+8h-48=

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Solution for h^2+8h-48= equation:


Simplifying
h2 + 8h + -48 = 0

Reorder the terms:
-48 + 8h + h2 = 0

Solving
-48 + 8h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-12 + -1h)(4 + -1h) = 0

Subproblem 1

Set the factor '(-12 + -1h)' equal to zero and attempt to solve: Simplifying -12 + -1h = 0 Solving -12 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1h = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1h = 0 + 12 -1h = 0 + 12 Combine like terms: 0 + 12 = 12 -1h = 12 Divide each side by '-1'. h = -12 Simplifying h = -12

Subproblem 2

Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 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 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4

Solution

h = {-12, 4}

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