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Simplifying 4h2 + -14h = 0 Reorder the terms: -14h + 4h2 = 0 Solving -14h + 4h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(-7 + 2h) = 0 Ignore the factor 2.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 + 2h)' equal to zero and attempt to solve: Simplifying -7 + 2h = 0 Solving -7 + 2h = 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 + 2h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2h = 0 + 7 2h = 0 + 7 Combine like terms: 0 + 7 = 7 2h = 7 Divide each side by '2'. h = 3.5 Simplifying h = 3.5Solution
h = {0, 3.5}
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