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Simplifying (h + 6)(h + -4) = 0 Reorder the terms: (6 + h)(h + -4) = 0 Reorder the terms: (6 + h)(-4 + h) = 0 Multiply (6 + h) * (-4 + h) (6(-4 + h) + h(-4 + h)) = 0 ((-4 * 6 + h * 6) + h(-4 + h)) = 0 ((-24 + 6h) + h(-4 + h)) = 0 (-24 + 6h + (-4 * h + h * h)) = 0 (-24 + 6h + (-4h + h2)) = 0 Combine like terms: 6h + -4h = 2h (-24 + 2h + h2) = 0 Solving -24 + 2h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-6 + -1h)(4 + -1h) = 0Subproblem 1
Set the factor '(-6 + -1h)' equal to zero and attempt to solve: Simplifying -6 + -1h = 0 Solving -6 + -1h = 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 + -1h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1h = 0 + 6 -1h = 0 + 6 Combine like terms: 0 + 6 = 6 -1h = 6 Divide each side by '-1'. h = -6 Simplifying h = -6Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 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 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Solution
h = {-6, 4}
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