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Simplifying (8h + -5)(h + -7) = 0 Reorder the terms: (-5 + 8h)(h + -7) = 0 Reorder the terms: (-5 + 8h)(-7 + h) = 0 Multiply (-5 + 8h) * (-7 + h) (-5(-7 + h) + 8h * (-7 + h)) = 0 ((-7 * -5 + h * -5) + 8h * (-7 + h)) = 0 ((35 + -5h) + 8h * (-7 + h)) = 0 (35 + -5h + (-7 * 8h + h * 8h)) = 0 (35 + -5h + (-56h + 8h2)) = 0 Combine like terms: -5h + -56h = -61h (35 + -61h + 8h2) = 0 Solving 35 + -61h + 8h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + -8h)(7 + -1h) = 0Subproblem 1
Set the factor '(5 + -8h)' equal to zero and attempt to solve: Simplifying 5 + -8h = 0 Solving 5 + -8h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8h = 0 + -5 -8h = 0 + -5 Combine like terms: 0 + -5 = -5 -8h = -5 Divide each side by '-8'. h = 0.625 Simplifying h = 0.625Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 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 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Solution
h = {0.625, 7}
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