H^2-8h-48= - Solution

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h^2-8h-48=

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Equation: SOLVE

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. (-4 + -1h)(12 + -1h) = 0

Subproblem 1

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

Subproblem 2

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

Solution

h = {-4, 12}

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