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Simplifying c2 + 10cg + 16g2 = 0 Reorder the terms: 10cg + c2 + 16g2 = 0 Solving 10cg + c2 + 16g2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 2g)(c + 8g) = 0Subproblem 1
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 = -2gSubproblem 2
Set the factor '(c + 8g)' equal to zero and attempt to solve: Simplifying c + 8g = 0 Solving c + 8g = 0 Move all terms containing c to the left, all other terms to the right. Add '-8g' to each side of the equation. c + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 c + 0 = 0 + -8g c = 0 + -8g Remove the zero: c = -8g Simplifying c = -8gSolution
c = {-2g, -8g}
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