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Simplifying c2 + -18cg + 81g2 = 0 Reorder the terms: -18cg + c2 + 81g2 = 0 Solving -18cg + c2 + 81g2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -9g)(c + -9g) = 0Subproblem 1
Set the factor '(c + -9g)' equal to zero and attempt to solve: Simplifying c + -9g = 0 Solving c + -9g = 0 Move all terms containing c to the left, all other terms to the right. Add '9g' to each side of the equation. c + -9g + 9g = 0 + 9g Combine like terms: -9g + 9g = 0 c + 0 = 0 + 9g c = 0 + 9g Remove the zero: c = 9g Simplifying c = 9gSubproblem 2
Set the factor '(c + -9g)' equal to zero and attempt to solve: Simplifying c + -9g = 0 Solving c + -9g = 0 Move all terms containing c to the left, all other terms to the right. Add '9g' to each side of the equation. c + -9g + 9g = 0 + 9g Combine like terms: -9g + 9g = 0 c + 0 = 0 + 9g c = 0 + 9g Remove the zero: c = 9g Simplifying c = 9gSolution
c = {9g, 9g}
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