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Simplifying 4h2 + 9h + -28 = 0 Reorder the terms: -28 + 9h + 4h2 = 0 Solving -28 + 9h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (-4 + -1h)(7 + -4h) = 0Subproblem 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 = -4Subproblem 2
Set the factor '(7 + -4h)' equal to zero and attempt to solve: Simplifying 7 + -4h = 0 Solving 7 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4h = 0 + -7 -4h = 0 + -7 Combine like terms: 0 + -7 = -7 -4h = -7 Divide each side by '-4'. h = 1.75 Simplifying h = 1.75Solution
h = {-4, 1.75}
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