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Simplifying 25c2 + 90cg + 81g2 = 0 Reorder the terms: 90cg + 25c2 + 81g2 = 0 Solving 90cg + 25c2 + 81g2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 9g)(5c + 9g) = 0Subproblem 1
Set the factor '(5c + 9g)' equal to zero and attempt to solve: Simplifying 5c + 9g = 0 Solving 5c + 9g = 0 Move all terms containing c to the left, all other terms to the right. Add '-9g' to each side of the equation. 5c + 9g + -9g = 0 + -9g Combine like terms: 9g + -9g = 0 5c + 0 = 0 + -9g 5c = 0 + -9g Remove the zero: 5c = -9g Divide each side by '5'. c = -1.8g Simplifying c = -1.8gSubproblem 2
Set the factor '(5c + 9g)' equal to zero and attempt to solve: Simplifying 5c + 9g = 0 Solving 5c + 9g = 0 Move all terms containing c to the left, all other terms to the right. Add '-9g' to each side of the equation. 5c + 9g + -9g = 0 + -9g Combine like terms: 9g + -9g = 0 5c + 0 = 0 + -9g 5c = 0 + -9g Remove the zero: 5c = -9g Divide each side by '5'. c = -1.8g Simplifying c = -1.8gSolution
c = {-1.8g, -1.8g}
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