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Simplifying (4h + 9)(h + -4) = 0 Reorder the terms: (9 + 4h)(h + -4) = 0 Reorder the terms: (9 + 4h)(-4 + h) = 0 Multiply (9 + 4h) * (-4 + h) (9(-4 + h) + 4h * (-4 + h)) = 0 ((-4 * 9 + h * 9) + 4h * (-4 + h)) = 0 ((-36 + 9h) + 4h * (-4 + h)) = 0 (-36 + 9h + (-4 * 4h + h * 4h)) = 0 (-36 + 9h + (-16h + 4h2)) = 0 Combine like terms: 9h + -16h = -7h (-36 + -7h + 4h2) = 0 Solving -36 + -7h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (-9 + -4h)(4 + -1h) = 0Subproblem 1
Set the factor '(-9 + -4h)' equal to zero and attempt to solve: Simplifying -9 + -4h = 0 Solving -9 + -4h = 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 + -4h = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4h = 0 + 9 -4h = 0 + 9 Combine like terms: 0 + 9 = 9 -4h = 9 Divide each side by '-4'. h = -2.25 Simplifying h = -2.25Subproblem 2
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 = 4Solution
h = {-2.25, 4}
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