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Simplifying c2 + 17cg + 70g2 = 0 Reorder the terms: 17cg + c2 + 70g2 = 0 Solving 17cg + c2 + 70g2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 7g)(c + 10g) = 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 + 10g)' equal to zero and attempt to solve: Simplifying c + 10g = 0 Solving c + 10g = 0 Move all terms containing c to the left, all other terms to the right. Add '-10g' to each side of the equation. c + 10g + -10g = 0 + -10g Combine like terms: 10g + -10g = 0 c + 0 = 0 + -10g c = 0 + -10g Remove the zero: c = -10g Simplifying c = -10gSolution
c = {-7g, -10g}
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