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Simplifying 4(16 + -8h + h2) + -12 + 3h + -1(64 + -12) = 0 (16 * 4 + -8h * 4 + h2 * 4) + -12 + 3h + -1(64 + -12) = 0 (64 + -32h + 4h2) + -12 + 3h + -1(64 + -12) = 0 Combine like terms: 64 + -12 = 52 64 + -32h + 4h2 + -12 + 3h + -1(52) = 0 Multiply -1 * 52 64 + -32h + 4h2 + -12 + 3h + -52 = 0 Reorder the terms: 64 + -12 + -52 + -32h + 3h + 4h2 = 0 Combine like terms: 64 + -12 = 52 52 + -52 + -32h + 3h + 4h2 = 0 Combine like terms: 52 + -52 = 0 0 + -32h + 3h + 4h2 = 0 -32h + 3h + 4h2 = 0 Combine like terms: -32h + 3h = -29h -29h + 4h2 = 0 Solving -29h + 4h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-29 + 4h) = 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 '(-29 + 4h)' equal to zero and attempt to solve: Simplifying -29 + 4h = 0 Solving -29 + 4h = 0 Move all terms containing h to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 4h = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 4h = 0 + 29 4h = 0 + 29 Combine like terms: 0 + 29 = 29 4h = 29 Divide each side by '4'. h = 7.25 Simplifying h = 7.25Solution
h = {0, 7.25}
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