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Simplifying (4h + -7)(h + 9) = 0 Reorder the terms: (-7 + 4h)(h + 9) = 0 Reorder the terms: (-7 + 4h)(9 + h) = 0 Multiply (-7 + 4h) * (9 + h) (-7(9 + h) + 4h * (9 + h)) = 0 ((9 * -7 + h * -7) + 4h * (9 + h)) = 0 ((-63 + -7h) + 4h * (9 + h)) = 0 (-63 + -7h + (9 * 4h + h * 4h)) = 0 (-63 + -7h + (36h + 4h2)) = 0 Combine like terms: -7h + 36h = 29h (-63 + 29h + 4h2) = 0 Solving -63 + 29h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (-9 + -1h)(7 + -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 '(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 = {-9, 1.75}
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