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Simplifying (5h + 6)(4h + -7) = 0 Reorder the terms: (6 + 5h)(4h + -7) = 0 Reorder the terms: (6 + 5h)(-7 + 4h) = 0 Multiply (6 + 5h) * (-7 + 4h) (6(-7 + 4h) + 5h * (-7 + 4h)) = 0 ((-7 * 6 + 4h * 6) + 5h * (-7 + 4h)) = 0 ((-42 + 24h) + 5h * (-7 + 4h)) = 0 (-42 + 24h + (-7 * 5h + 4h * 5h)) = 0 (-42 + 24h + (-35h + 20h2)) = 0 Combine like terms: 24h + -35h = -11h (-42 + -11h + 20h2) = 0 Solving -42 + -11h + 20h2 = 0 Solving for variable 'h'. Factor a trinomial. (-6 + -5h)(7 + -4h) = 0Subproblem 1
Set the factor '(-6 + -5h)' equal to zero and attempt to solve: Simplifying -6 + -5h = 0 Solving -6 + -5h = 0 Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5h = 0 + 6 -5h = 0 + 6 Combine like terms: 0 + 6 = 6 -5h = 6 Divide each side by '-5'. h = -1.2 Simplifying h = -1.2Subproblem 2
Set the factor '(7 + -4h)' equal to zero and attempt to solve: Simplifying 7 + -4h = 0 Solving 7 + -4h = 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 + -4h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4h = 0 + -7 -4h = 0 + -7 Combine like terms: 0 + -7 = -7 -4h = -7 Divide each side by '-4'. h = 1.75 Simplifying h = 1.75Solution
h = {-1.2, 1.75}
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