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Simplifying 3(25 + -10h + h2) + -20 + 4h + -1(75 + -20) = 0 (25 * 3 + -10h * 3 + h2 * 3) + -20 + 4h + -1(75 + -20) = 0 (75 + -30h + 3h2) + -20 + 4h + -1(75 + -20) = 0 Combine like terms: 75 + -20 = 55 75 + -30h + 3h2 + -20 + 4h + -1(55) = 0 Multiply -1 * 55 75 + -30h + 3h2 + -20 + 4h + -55 = 0 Reorder the terms: 75 + -20 + -55 + -30h + 4h + 3h2 = 0 Combine like terms: 75 + -20 = 55 55 + -55 + -30h + 4h + 3h2 = 0 Combine like terms: 55 + -55 = 0 0 + -30h + 4h + 3h2 = 0 -30h + 4h + 3h2 = 0 Combine like terms: -30h + 4h = -26h -26h + 3h2 = 0 Solving -26h + 3h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-26 + 3h) = 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 '(-26 + 3h)' equal to zero and attempt to solve: Simplifying -26 + 3h = 0 Solving -26 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 3h = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 3h = 0 + 26 3h = 0 + 26 Combine like terms: 0 + 26 = 26 3h = 26 Divide each side by '3'. h = 8.666666667 Simplifying h = 8.666666667Solution
h = {0, 8.666666667}
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