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Simplifying 8h2 + -2h = 15 Reorder the terms: -2h + 8h2 = 15 Solving -2h + 8h2 = 15 Solving for variable 'h'. Reorder the terms: -15 + -2h + 8h2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -2h + 8h2 = 0 Factor a trinomial. (-5 + -4h)(3 + -2h) = 0Subproblem 1
Set the factor '(-5 + -4h)' equal to zero and attempt to solve: Simplifying -5 + -4h = 0 Solving -5 + -4h = 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 + -4h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4h = 0 + 5 -4h = 0 + 5 Combine like terms: 0 + 5 = 5 -4h = 5 Divide each side by '-4'. h = -1.25 Simplifying h = -1.25Subproblem 2
Set the factor '(3 + -2h)' equal to zero and attempt to solve: Simplifying 3 + -2h = 0 Solving 3 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2h = 0 + -3 -2h = 0 + -3 Combine like terms: 0 + -3 = -3 -2h = -3 Divide each side by '-2'. h = 1.5 Simplifying h = 1.5Solution
h = {-1.25, 1.5}
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