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Simplifying 25c2 + -60cg + 36g2 = 0 Reorder the terms: -60cg + 25c2 + 36g2 = 0 Solving -60cg + 25c2 + 36g2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -6g)(5c + -6g) = 0Subproblem 1
Set the factor '(5c + -6g)' equal to zero and attempt to solve: Simplifying 5c + -6g = 0 Solving 5c + -6g = 0 Move all terms containing c to the left, all other terms to the right. Add '6g' to each side of the equation. 5c + -6g + 6g = 0 + 6g Combine like terms: -6g + 6g = 0 5c + 0 = 0 + 6g 5c = 0 + 6g Remove the zero: 5c = 6g Divide each side by '5'. c = 1.2g Simplifying c = 1.2gSubproblem 2
Set the factor '(5c + -6g)' equal to zero and attempt to solve: Simplifying 5c + -6g = 0 Solving 5c + -6g = 0 Move all terms containing c to the left, all other terms to the right. Add '6g' to each side of the equation. 5c + -6g + 6g = 0 + 6g Combine like terms: -6g + 6g = 0 5c + 0 = 0 + 6g 5c = 0 + 6g Remove the zero: 5c = 6g Divide each side by '5'. c = 1.2g Simplifying c = 1.2gSolution
c = {1.2g, 1.2g}
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