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Simplifying 6h(7h + 19) = 0 Reorder the terms: 6h(19 + 7h) = 0 (19 * 6h + 7h * 6h) = 0 (114h + 42h2) = 0 Solving 114h + 42h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '6h'. 6h(19 + 7h) = 0 Ignore the factor 6.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 '(19 + 7h)' equal to zero and attempt to solve: Simplifying 19 + 7h = 0 Solving 19 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7h = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 7h = 0 + -19 7h = 0 + -19 Combine like terms: 0 + -19 = -19 7h = -19 Divide each side by '7'. h = -2.714285714 Simplifying h = -2.714285714Solution
h = {0, -2.714285714}
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