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Simplifying 3h + -4h(h + -4) = 15 Reorder the terms: 3h + -4h(-4 + h) = 15 3h + (-4 * -4h + h * -4h) = 15 3h + (16h + -4h2) = 15 Combine like terms: 3h + 16h = 19h 19h + -4h2 = 15 Solving 19h + -4h2 = 15 Solving for variable 'h'. Reorder the terms: -15 + 19h + -4h2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 19h + -4h2 = 0 Factor a trinomial. (-15 + 4h)(1 + -1h) = 0Subproblem 1
Set the factor '(-15 + 4h)' equal to zero and attempt to solve: Simplifying -15 + 4h = 0 Solving -15 + 4h = 0 Move all terms containing h to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4h = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4h = 0 + 15 4h = 0 + 15 Combine like terms: 0 + 15 = 15 4h = 15 Divide each side by '4'. h = 3.75 Simplifying h = 3.75Subproblem 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 = 1Solution
h = {3.75, 1}
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