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Simplifying (2h + 5)(h + -3) = 0 Reorder the terms: (5 + 2h)(h + -3) = 0 Reorder the terms: (5 + 2h)(-3 + h) = 0 Multiply (5 + 2h) * (-3 + h) (5(-3 + h) + 2h * (-3 + h)) = 0 ((-3 * 5 + h * 5) + 2h * (-3 + h)) = 0 ((-15 + 5h) + 2h * (-3 + h)) = 0 (-15 + 5h + (-3 * 2h + h * 2h)) = 0 (-15 + 5h + (-6h + 2h2)) = 0 Combine like terms: 5h + -6h = -1h (-15 + -1h + 2h2) = 0 Solving -15 + -1h + 2h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -2h)(3 + -1h) = 0Subproblem 1
Set the factor '(-5 + -2h)' equal to zero and attempt to solve: Simplifying -5 + -2h = 0 Solving -5 + -2h = 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 + -2h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2h = 0 + 5 -2h = 0 + 5 Combine like terms: 0 + 5 = 5 -2h = 5 Divide each side by '-2'. h = -2.5 Simplifying h = -2.5Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {-2.5, 3}
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