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Simplifying 64h2 + -28h + -15 = 0 Reorder the terms: -15 + -28h + 64h2 = 0 Solving -15 + -28h + 64h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -16h)(3 + -4h) = 0Subproblem 1
Set the factor '(-5 + -16h)' equal to zero and attempt to solve: Simplifying -5 + -16h = 0 Solving -5 + -16h = 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 + -16h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16h = 0 + 5 -16h = 0 + 5 Combine like terms: 0 + 5 = 5 -16h = 5 Divide each side by '-16'. h = -0.3125 Simplifying h = -0.3125Subproblem 2
Set the factor '(3 + -4h)' equal to zero and attempt to solve: Simplifying 3 + -4h = 0 Solving 3 + -4h = 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 + -4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4h = 0 + -3 -4h = 0 + -3 Combine like terms: 0 + -3 = -3 -4h = -3 Divide each side by '-4'. h = 0.75 Simplifying h = 0.75Solution
h = {-0.3125, 0.75}
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