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Simplifying 8h + 6h2 + -2h + 5h2 = 0 Reorder the terms: 8h + -2h + 6h2 + 5h2 = 0 Combine like terms: 8h + -2h = 6h 6h + 6h2 + 5h2 = 0 Combine like terms: 6h2 + 5h2 = 11h2 6h + 11h2 = 0 Solving 6h + 11h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(6 + 11h) = 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 '(6 + 11h)' equal to zero and attempt to solve: Simplifying 6 + 11h = 0 Solving 6 + 11h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11h = 0 + -6 11h = 0 + -6 Combine like terms: 0 + -6 = -6 11h = -6 Divide each side by '11'. h = -0.5454545455 Simplifying h = -0.5454545455Solution
h = {0, -0.5454545455}
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