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Simplifying (3h + -5)(5h + 4) = 0 Reorder the terms: (-5 + 3h)(5h + 4) = 0 Reorder the terms: (-5 + 3h)(4 + 5h) = 0 Multiply (-5 + 3h) * (4 + 5h) (-5(4 + 5h) + 3h * (4 + 5h)) = 0 ((4 * -5 + 5h * -5) + 3h * (4 + 5h)) = 0 ((-20 + -25h) + 3h * (4 + 5h)) = 0 (-20 + -25h + (4 * 3h + 5h * 3h)) = 0 (-20 + -25h + (12h + 15h2)) = 0 Combine like terms: -25h + 12h = -13h (-20 + -13h + 15h2) = 0 Solving -20 + -13h + 15h2 = 0 Solving for variable 'h'. Factor a trinomial. (-4 + -5h)(5 + -3h) = 0Subproblem 1
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 = -0.8Subproblem 2
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 = 1.666666667Solution
h = {-0.8, 1.666666667}
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