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Simplifying 0 = (2h + -5) * h Reorder the terms: 0 = (-5 + 2h) * h Reorder the terms for easier multiplication: 0 = h(-5 + 2h) 0 = (-5 * h + 2h * h) 0 = (-5h + 2h2) Solving 0 = -5h + 2h2 Solving for variable 'h'. Remove the zero: 5h + -2h2 = -5h + 2h2 + 5h + -2h2 Reorder the terms: 5h + -2h2 = -5h + 5h + 2h2 + -2h2 Combine like terms: -5h + 5h = 0 5h + -2h2 = 0 + 2h2 + -2h2 5h + -2h2 = 2h2 + -2h2 Combine like terms: 2h2 + -2h2 = 0 5h + -2h2 = 0 Factor out the Greatest Common Factor (GCF), 'h'. h(5 + -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 '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5Solution
h = {0, 2.5}
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