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Simplifying 324 = h2 + -12h + 27(h) Reorder the terms: 324 = -12h + 27h + h2 Combine like terms: -12h + 27h = 15h 324 = 15h + h2 Solving 324 = 15h + h2 Solving for variable 'h'. Reorder the terms: 324 + -15h + -1h2 = 15h + -15h + h2 + -1h2 Combine like terms: 15h + -15h = 0 324 + -15h + -1h2 = 0 + h2 + -1h2 324 + -15h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 324 + -15h + -1h2 = 0 Factor a trinomial. (12 + -1h)(27 + h) = 0Subproblem 1
Set the factor '(12 + -1h)' equal to zero and attempt to solve: Simplifying 12 + -1h = 0 Solving 12 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1h = 0 + -12 -1h = 0 + -12 Combine like terms: 0 + -12 = -12 -1h = -12 Divide each side by '-1'. h = 12 Simplifying h = 12Subproblem 2
Set the factor '(27 + h)' equal to zero and attempt to solve: Simplifying 27 + h = 0 Solving 27 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + h = 0 + -27 Combine like terms: 27 + -27 = 0 0 + h = 0 + -27 h = 0 + -27 Combine like terms: 0 + -27 = -27 h = -27 Simplifying h = -27Solution
h = {12, -27}
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