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Simplifying (-5h + 4)(5h + -5) = 0 Reorder the terms: (4 + -5h)(5h + -5) = 0 Reorder the terms: (4 + -5h)(-5 + 5h) = 0 Multiply (4 + -5h) * (-5 + 5h) (4(-5 + 5h) + -5h * (-5 + 5h)) = 0 ((-5 * 4 + 5h * 4) + -5h * (-5 + 5h)) = 0 ((-20 + 20h) + -5h * (-5 + 5h)) = 0 (-20 + 20h + (-5 * -5h + 5h * -5h)) = 0 (-20 + 20h + (25h + -25h2)) = 0 Combine like terms: 20h + 25h = 45h (-20 + 45h + -25h2) = 0 Solving -20 + 45h + -25h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 9h + -5h2) = 0 Factor a trinomial. 5((-1 + h)(4 + -5h)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + h)' equal to zero and attempt to solve: Simplifying -1 + h = 0 Solving -1 + h = 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 + h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + h = 0 + 1 h = 0 + 1 Combine like terms: 0 + 1 = 1 h = 1 Simplifying h = 1Subproblem 2
Set the factor '(4 + -5h)' equal to zero and attempt to solve: Simplifying 4 + -5h = 0 Solving 4 + -5h = 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 + -5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5h = 0 + -4 -5h = 0 + -4 Combine like terms: 0 + -4 = -4 -5h = -4 Divide each side by '-5'. h = 0.8 Simplifying h = 0.8Solution
h = {1, 0.8}
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