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Simplifying c2 + 6ch + -27h2 = 0 Reorder the terms: 6ch + c2 + -27h2 = 0 Solving 6ch + c2 + -27h2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -3h)(c + 9h) = 0Subproblem 1
Set the factor '(c + -3h)' equal to zero and attempt to solve: Simplifying c + -3h = 0 Solving c + -3h = 0 Move all terms containing c to the left, all other terms to the right. Add '3h' to each side of the equation. c + -3h + 3h = 0 + 3h Combine like terms: -3h + 3h = 0 c + 0 = 0 + 3h c = 0 + 3h Remove the zero: c = 3h Simplifying c = 3hSubproblem 2
Set the factor '(c + 9h)' equal to zero and attempt to solve: Simplifying c + 9h = 0 Solving c + 9h = 0 Move all terms containing c to the left, all other terms to the right. Add '-9h' to each side of the equation. c + 9h + -9h = 0 + -9h Combine like terms: 9h + -9h = 0 c + 0 = 0 + -9h c = 0 + -9h Remove the zero: c = -9h Simplifying c = -9hSolution
c = {3h, -9h}
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