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Simplifying 25c2 + 40cg + 16g2 = 0 Reorder the terms: 40cg + 25c2 + 16g2 = 0 Solving 40cg + 25c2 + 16g2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 4g)(5c + 4g) = 0Subproblem 1
Set the factor '(5c + 4g)' equal to zero and attempt to solve: Simplifying 5c + 4g = 0 Solving 5c + 4g = 0 Move all terms containing c to the left, all other terms to the right. Add '-4g' to each side of the equation. 5c + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5c + 0 = 0 + -4g 5c = 0 + -4g Remove the zero: 5c = -4g Divide each side by '5'. c = -0.8g Simplifying c = -0.8gSubproblem 2
Set the factor '(5c + 4g)' equal to zero and attempt to solve: Simplifying 5c + 4g = 0 Solving 5c + 4g = 0 Move all terms containing c to the left, all other terms to the right. Add '-4g' to each side of the equation. 5c + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5c + 0 = 0 + -4g 5c = 0 + -4g Remove the zero: 5c = -4g Divide each side by '5'. c = -0.8g Simplifying c = -0.8gSolution
c = {-0.8g, -0.8g}
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