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Simplifying 5h(7h + 18) = 0 Reorder the terms: 5h(18 + 7h) = 0 (18 * 5h + 7h * 5h) = 0 (90h + 35h2) = 0 Solving 90h + 35h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h'. 5h(18 + 7h) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(18 + 7h)' equal to zero and attempt to solve: Simplifying 18 + 7h = 0 Solving 18 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7h = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7h = 0 + -18 7h = 0 + -18 Combine like terms: 0 + -18 = -18 7h = -18 Divide each side by '7'. h = -2.571428571 Simplifying h = -2.571428571Solution
h = {0, -2.571428571}
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