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Simplifying 60h2 + 280h + 45 = 0 Reorder the terms: 45 + 280h + 60h2 = 0 Solving 45 + 280h + 60h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5'. 5(9 + 56h + 12h2) = 0 Factor a trinomial. 5((9 + 2h)(1 + 6h)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + 2h)' equal to zero and attempt to solve: Simplifying 9 + 2h = 0 Solving 9 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2h = 0 + -9 2h = 0 + -9 Combine like terms: 0 + -9 = -9 2h = -9 Divide each side by '2'. h = -4.5 Simplifying h = -4.5Subproblem 2
Set the factor '(1 + 6h)' equal to zero and attempt to solve: Simplifying 1 + 6h = 0 Solving 1 + 6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6h = 0 + -1 6h = 0 + -1 Combine like terms: 0 + -1 = -1 6h = -1 Divide each side by '6'. h = -0.1666666667 Simplifying h = -0.1666666667Solution
h = {-4.5, -0.1666666667}
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