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Simplifying 9g2 + 18gc + 8c2 = 0 Reorder the terms: 18cg + 8c2 + 9g2 = 0 Solving 18cg + 8c2 + 9g2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 3g)(2c + 3g) = 0Subproblem 1
Set the factor '(4c + 3g)' equal to zero and attempt to solve: Simplifying 4c + 3g = 0 Solving 4c + 3g = 0 Move all terms containing c to the left, all other terms to the right. Add '-3g' to each side of the equation. 4c + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 4c + 0 = 0 + -3g 4c = 0 + -3g Remove the zero: 4c = -3g Divide each side by '4'. c = -0.75g Simplifying c = -0.75gSubproblem 2
Set the factor '(2c + 3g)' equal to zero and attempt to solve: Simplifying 2c + 3g = 0 Solving 2c + 3g = 0 Move all terms containing c to the left, all other terms to the right. Add '-3g' to each side of the equation. 2c + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 2c + 0 = 0 + -3g 2c = 0 + -3g Remove the zero: 2c = -3g Divide each side by '2'. c = -1.5g Simplifying c = -1.5gSolution
c = {-0.75g, -1.5g}
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