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Simplifying 4h2 + 35h + -9 = 0 Reorder the terms: -9 + 35h + 4h2 = 0 Solving -9 + 35h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (-9 + -1h)(1 + -4h) = 0Subproblem 1
Set the factor '(-9 + -1h)' equal to zero and attempt to solve: Simplifying -9 + -1h = 0 Solving -9 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1h = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1h = 0 + 9 -1h = 0 + 9 Combine like terms: 0 + 9 = 9 -1h = 9 Divide each side by '-1'. h = -9 Simplifying h = -9Subproblem 2
Set the factor '(1 + -4h)' equal to zero and attempt to solve: Simplifying 1 + -4h = 0 Solving 1 + -4h = 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 + -4h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4h = 0 + -1 -4h = 0 + -1 Combine like terms: 0 + -1 = -1 -4h = -1 Divide each side by '-4'. h = 0.25 Simplifying h = 0.25Solution
h = {-9, 0.25}
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