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Simplifying 8g2 + 24cg + 18c2 = 0 Reorder the terms: 24cg + 18c2 + 8g2 = 0 Solving 24cg + 18c2 + 8g2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(12cg + 9c2 + 4g2) = 0 Factor a trinomial. 2((3c + 2g)(3c + 2g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3c + 2g)' equal to zero and attempt to solve: Simplifying 3c + 2g = 0 Solving 3c + 2g = 0 Move all terms containing c to the left, all other terms to the right. Add '-2g' to each side of the equation. 3c + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 3c + 0 = 0 + -2g 3c = 0 + -2g Remove the zero: 3c = -2g Divide each side by '3'. c = -0.6666666667g Simplifying c = -0.6666666667gSubproblem 2
Set the factor '(3c + 2g)' equal to zero and attempt to solve: Simplifying 3c + 2g = 0 Solving 3c + 2g = 0 Move all terms containing c to the left, all other terms to the right. Add '-2g' to each side of the equation. 3c + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 3c + 0 = 0 + -2g 3c = 0 + -2g Remove the zero: 3c = -2g Divide each side by '3'. c = -0.6666666667g Simplifying c = -0.6666666667gSolution
c = {-0.6666666667g, -0.6666666667g}
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