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Simplifying 16h = 16h(2h + -10) Reorder the terms: 16h = 16h(-10 + 2h) 16h = (-10 * 16h + 2h * 16h) 16h = (-160h + 32h2) Solving 16h = -160h + 32h2 Solving for variable 'h'. Combine like terms: 16h + 160h = 176h 176h + -32h2 = -160h + 32h2 + 160h + -32h2 Reorder the terms: 176h + -32h2 = -160h + 160h + 32h2 + -32h2 Combine like terms: -160h + 160h = 0 176h + -32h2 = 0 + 32h2 + -32h2 176h + -32h2 = 32h2 + -32h2 Combine like terms: 32h2 + -32h2 = 0 176h + -32h2 = 0 Factor out the Greatest Common Factor (GCF), '16h'. 16h(11 + -2h) = 0 Ignore the factor 16.Subproblem 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 '(11 + -2h)' equal to zero and attempt to solve: Simplifying 11 + -2h = 0 Solving 11 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2h = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2h = 0 + -11 -2h = 0 + -11 Combine like terms: 0 + -11 = -11 -2h = -11 Divide each side by '-2'. h = 5.5 Simplifying h = 5.5Solution
h = {0, 5.5}
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