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Simplifying c2 + -5cg + -14g2 = 0 Reorder the terms: -5cg + c2 + -14g2 = 0 Solving -5cg + c2 + -14g2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -7g)(c + 2g) = 0Subproblem 1
Set the factor '(c + -7g)' equal to zero and attempt to solve: Simplifying c + -7g = 0 Solving c + -7g = 0 Move all terms containing c to the left, all other terms to the right. Add '7g' to each side of the equation. c + -7g + 7g = 0 + 7g Combine like terms: -7g + 7g = 0 c + 0 = 0 + 7g c = 0 + 7g Remove the zero: c = 7g Simplifying c = 7gSubproblem 2
Set the factor '(c + 2g)' equal to zero and attempt to solve: Simplifying c + 2g = 0 Solving c + 2g = 0 Move all terms containing c to the left, all other terms to the right. Add '-2g' to each side of the equation. c + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 c + 0 = 0 + -2g c = 0 + -2g Remove the zero: c = -2g Simplifying c = -2gSolution
c = {7g, -2g}
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