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Simplifying n(h) = -2h2 + -7h Multiply n * h hn = -2h2 + -7h Reorder the terms: hn = -7h + -2h2 Solving hn = -7h + -2h2 Solving for variable 'h'. Reorder the terms: 7h + hn + 2h2 = -7h + -2h2 + 7h + 2h2 Reorder the terms: 7h + hn + 2h2 = -7h + 7h + -2h2 + 2h2 Combine like terms: -7h + 7h = 0 7h + hn + 2h2 = 0 + -2h2 + 2h2 7h + hn + 2h2 = -2h2 + 2h2 Combine like terms: -2h2 + 2h2 = 0 7h + hn + 2h2 = 0 Factor out the Greatest Common Factor (GCF), 'h'. h(7 + n + 2h) = 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 + n + 2h)' equal to zero and attempt to solve: Simplifying 7 + n + 2h = 0 Reorder the terms: 7 + 2h + n = 0 Solving 7 + 2h + n = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2h + -7 + n = 0 + -7 Reorder the terms: 7 + -7 + 2h + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h + n = 0 + -7 2h + n = 0 + -7 Combine like terms: 0 + -7 = -7 2h + n = -7 Add '-1n' to each side of the equation. 2h + n + -1n = -7 + -1n Combine like terms: n + -1n = 0 2h + 0 = -7 + -1n 2h = -7 + -1n Divide each side by '2'. h = -3.5 + -0.5n Simplifying h = -3.5 + -0.5nSolution
h = {0, -3.5 + -0.5n}
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