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Simplifying 7(1 + -2h + h2) + -5 + 5h + -1(7 + -5) = 0 (1 * 7 + -2h * 7 + h2 * 7) + -5 + 5h + -1(7 + -5) = 0 (7 + -14h + 7h2) + -5 + 5h + -1(7 + -5) = 0 Combine like terms: 7 + -5 = 2 7 + -14h + 7h2 + -5 + 5h + -1(2) = 0 Multiply -1 * 2 7 + -14h + 7h2 + -5 + 5h + -2 = 0 Reorder the terms: 7 + -5 + -2 + -14h + 5h + 7h2 = 0 Combine like terms: 7 + -5 = 2 2 + -2 + -14h + 5h + 7h2 = 0 Combine like terms: 2 + -2 = 0 0 + -14h + 5h + 7h2 = 0 -14h + 5h + 7h2 = 0 Combine like terms: -14h + 5h = -9h -9h + 7h2 = 0 Solving -9h + 7h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-9 + 7h) = 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 '(-9 + 7h)' equal to zero and attempt to solve: Simplifying -9 + 7h = 0 Solving -9 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7h = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7h = 0 + 9 7h = 0 + 9 Combine like terms: 0 + 9 = 9 7h = 9 Divide each side by '7'. h = 1.285714286 Simplifying h = 1.285714286Solution
h = {0, 1.285714286}
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