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Simplifying -2h2 + 11h + 21 = 21 Reorder the terms: 21 + 11h + -2h2 = 21 Add '-21' to each side of the equation. 21 + 11h + -21 + -2h2 = 21 + -21 Reorder the terms: 21 + -21 + 11h + -2h2 = 21 + -21 Combine like terms: 21 + -21 = 0 0 + 11h + -2h2 = 21 + -21 11h + -2h2 = 21 + -21 Combine like terms: 21 + -21 = 0 11h + -2h2 = 0 Solving 11h + -2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(11 + -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 '(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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