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Simplifying (-2h + 5)(5h + 3) = 0 Reorder the terms: (5 + -2h)(5h + 3) = 0 Reorder the terms: (5 + -2h)(3 + 5h) = 0 Multiply (5 + -2h) * (3 + 5h) (5(3 + 5h) + -2h * (3 + 5h)) = 0 ((3 * 5 + 5h * 5) + -2h * (3 + 5h)) = 0 ((15 + 25h) + -2h * (3 + 5h)) = 0 (15 + 25h + (3 * -2h + 5h * -2h)) = 0 (15 + 25h + (-6h + -10h2)) = 0 Combine like terms: 25h + -6h = 19h (15 + 19h + -10h2) = 0 Solving 15 + 19h + -10h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + -2h)(3 + 5h) = 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 + 5h)' equal to zero and attempt to solve: Simplifying 3 + 5h = 0 Solving 3 + 5h = 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 + 5h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5h = 0 + -3 5h = 0 + -3 Combine like terms: 0 + -3 = -3 5h = -3 Divide each side by '5'. h = -0.6 Simplifying h = -0.6Solution
h = {2.5, -0.6}
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