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Simplifying 6h(4h + 7) = 0 Reorder the terms: 6h(7 + 4h) = 0 (7 * 6h + 4h * 6h) = 0 (42h + 24h2) = 0 Solving 42h + 24h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '6h'. 6h(7 + 4h) = 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 '(7 + 4h)' equal to zero and attempt to solve: Simplifying 7 + 4h = 0 Solving 7 + 4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4h = 0 + -7 4h = 0 + -7 Combine like terms: 0 + -7 = -7 4h = -7 Divide each side by '4'. h = -1.75 Simplifying h = -1.75Solution
h = {0, -1.75}
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