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Simplifying (2h2 + -5h) + (7h + -3h2) = 0 Reorder the terms: (-5h + 2h2) + (7h + -3h2) = 0 Remove parenthesis around (-5h + 2h2) -5h + 2h2 + (7h + -3h2) = 0 Remove parenthesis around (7h + -3h2) -5h + 2h2 + 7h + -3h2 = 0 Reorder the terms: -5h + 7h + 2h2 + -3h2 = 0 Combine like terms: -5h + 7h = 2h 2h + 2h2 + -3h2 = 0 Combine like terms: 2h2 + -3h2 = -1h2 2h + -1h2 = 0 Solving 2h + -1h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(2 + -1h) = 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 '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {0, 2}
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