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Simplifying (h + -2)(3h + 5) = 0 Reorder the terms: (-2 + h)(3h + 5) = 0 Reorder the terms: (-2 + h)(5 + 3h) = 0 Multiply (-2 + h) * (5 + 3h) (-2(5 + 3h) + h(5 + 3h)) = 0 ((5 * -2 + 3h * -2) + h(5 + 3h)) = 0 ((-10 + -6h) + h(5 + 3h)) = 0 (-10 + -6h + (5 * h + 3h * h)) = 0 (-10 + -6h + (5h + 3h2)) = 0 Combine like terms: -6h + 5h = -1h (-10 + -1h + 3h2) = 0 Solving -10 + -1h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -3h)(2 + -1h) = 0Subproblem 1
Set the factor '(-5 + -3h)' equal to zero and attempt to solve: Simplifying -5 + -3h = 0 Solving -5 + -3h = 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 + -3h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3h = 0 + 5 -3h = 0 + 5 Combine like terms: 0 + 5 = 5 -3h = 5 Divide each side by '-3'. h = -1.666666667 Simplifying h = -1.666666667Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {-1.666666667, 2}
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