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Simplifying 21h2 + 72h + -48 = 0 Reorder the terms: -48 + 72h + 21h2 = 0 Solving -48 + 72h + 21h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + 24h + 7h2) = 0 Factor a trinomial. 3((-4 + -1h)(4 + -7h)) = 0 Ignore the factor 3.Subproblem 1
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 = -4Subproblem 2
Set the factor '(4 + -7h)' equal to zero and attempt to solve: Simplifying 4 + -7h = 0 Solving 4 + -7h = 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 + -7h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7h = 0 + -4 -7h = 0 + -4 Combine like terms: 0 + -4 = -4 -7h = -4 Divide each side by '-7'. h = 0.5714285714 Simplifying h = 0.5714285714Solution
h = {-4, 0.5714285714}
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