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Simplifying (h + 8)(5h + -8) = 0 Reorder the terms: (8 + h)(5h + -8) = 0 Reorder the terms: (8 + h)(-8 + 5h) = 0 Multiply (8 + h) * (-8 + 5h) (8(-8 + 5h) + h(-8 + 5h)) = 0 ((-8 * 8 + 5h * 8) + h(-8 + 5h)) = 0 ((-64 + 40h) + h(-8 + 5h)) = 0 (-64 + 40h + (-8 * h + 5h * h)) = 0 (-64 + 40h + (-8h + 5h2)) = 0 Combine like terms: 40h + -8h = 32h (-64 + 32h + 5h2) = 0 Solving -64 + 32h + 5h2 = 0 Solving for variable 'h'. Factor a trinomial. (-8 + -1h)(8 + -5h) = 0Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve: Simplifying -8 + -1h = 0 Solving -8 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1h = 0 + 8 -1h = 0 + 8 Combine like terms: 0 + 8 = 8 -1h = 8 Divide each side by '-1'. h = -8 Simplifying h = -8Subproblem 2
Set the factor '(8 + -5h)' equal to zero and attempt to solve: Simplifying 8 + -5h = 0 Solving 8 + -5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5h = 0 + -8 -5h = 0 + -8 Combine like terms: 0 + -8 = -8 -5h = -8 Divide each side by '-5'. h = 1.6 Simplifying h = 1.6Solution
h = {-8, 1.6}
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