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Simplifying c2 + -3cg + -18g2 = 0 Reorder the terms: -3cg + c2 + -18g2 = 0 Solving -3cg + c2 + -18g2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -6g)(c + 3g) = 0Subproblem 1
Set the factor '(c + -6g)' equal to zero and attempt to solve: Simplifying c + -6g = 0 Solving c + -6g = 0 Move all terms containing c to the left, all other terms to the right. Add '6g' to each side of the equation. c + -6g + 6g = 0 + 6g Combine like terms: -6g + 6g = 0 c + 0 = 0 + 6g c = 0 + 6g Remove the zero: c = 6g Simplifying c = 6gSubproblem 2
Set the factor '(c + 3g)' equal to zero and attempt to solve: Simplifying c + 3g = 0 Solving c + 3g = 0 Move all terms containing c to the left, all other terms to the right. Add '-3g' to each side of the equation. c + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 c + 0 = 0 + -3g c = 0 + -3g Remove the zero: c = -3g Simplifying c = -3gSolution
c = {6g, -3g}
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