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Simplifying 5h(7h + -1) = 0 Reorder the terms: 5h(-1 + 7h) = 0 (-1 * 5h + 7h * 5h) = 0 (-5h + 35h2) = 0 Solving -5h + 35h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h'. 5h(-1 + 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 '(-1 + 7h)' equal to zero and attempt to solve: Simplifying -1 + 7h = 0 Solving -1 + 7h = 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 + 7h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7h = 0 + 1 7h = 0 + 1 Combine like terms: 0 + 1 = 1 7h = 1 Divide each side by '7'. h = 0.1428571429 Simplifying h = 0.1428571429Solution
h = {0, 0.1428571429}
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