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Simplifying 6h2 + -2h + 3h2 + -5h = 0 Reorder the terms: -2h + -5h + 6h2 + 3h2 = 0 Combine like terms: -2h + -5h = -7h -7h + 6h2 + 3h2 = 0 Combine like terms: 6h2 + 3h2 = 9h2 -7h + 9h2 = 0 Solving -7h + 9h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-7 + 9h) = 0Subproblem 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 + 9h)' equal to zero and attempt to solve: Simplifying -7 + 9h = 0 Solving -7 + 9h = 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 + 9h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9h = 0 + 7 9h = 0 + 7 Combine like terms: 0 + 7 = 7 9h = 7 Divide each side by '9'. h = 0.7777777778 Simplifying h = 0.7777777778Solution
h = {0, 0.7777777778}
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