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Simplifying (5h + -5)(5h + -6) = 0 Reorder the terms: (-5 + 5h)(5h + -6) = 0 Reorder the terms: (-5 + 5h)(-6 + 5h) = 0 Multiply (-5 + 5h) * (-6 + 5h) (-5(-6 + 5h) + 5h * (-6 + 5h)) = 0 ((-6 * -5 + 5h * -5) + 5h * (-6 + 5h)) = 0 ((30 + -25h) + 5h * (-6 + 5h)) = 0 (30 + -25h + (-6 * 5h + 5h * 5h)) = 0 (30 + -25h + (-30h + 25h2)) = 0 Combine like terms: -25h + -30h = -55h (30 + -55h + 25h2) = 0 Solving 30 + -55h + 25h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5'. 5(6 + -11h + 5h2) = 0 Factor a trinomial. 5((1 + -1h)(6 + -5h)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Subproblem 2
Set the factor '(6 + -5h)' equal to zero and attempt to solve: Simplifying 6 + -5h = 0 Solving 6 + -5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5h = 0 + -6 -5h = 0 + -6 Combine like terms: 0 + -6 = -6 -5h = -6 Divide each side by '-5'. h = 1.2 Simplifying h = 1.2Solution
h = {1, 1.2}
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