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Simplifying (5h + -3)(3h + 7) = 0 Reorder the terms: (-3 + 5h)(3h + 7) = 0 Reorder the terms: (-3 + 5h)(7 + 3h) = 0 Multiply (-3 + 5h) * (7 + 3h) (-3(7 + 3h) + 5h * (7 + 3h)) = 0 ((7 * -3 + 3h * -3) + 5h * (7 + 3h)) = 0 ((-21 + -9h) + 5h * (7 + 3h)) = 0 (-21 + -9h + (7 * 5h + 3h * 5h)) = 0 (-21 + -9h + (35h + 15h2)) = 0 Combine like terms: -9h + 35h = 26h (-21 + 26h + 15h2) = 0 Solving -21 + 26h + 15h2 = 0 Solving for variable 'h'. Factor a trinomial. (-7 + -3h)(3 + -5h) = 0Subproblem 1
Set the factor '(-7 + -3h)' equal to zero and attempt to solve: Simplifying -7 + -3h = 0 Solving -7 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3h = 0 + 7 -3h = 0 + 7 Combine like terms: 0 + 7 = 7 -3h = 7 Divide each side by '-3'. h = -2.333333333 Simplifying h = -2.333333333Subproblem 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 = {-2.333333333, 0.6}
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