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Simplifying 25c2 + 20cd + 4d2 = 0 Reorder the terms: 20cd + 25c2 + 4d2 = 0 Solving 20cd + 25c2 + 4d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 2d)(5c + 2d) = 0Subproblem 1
Set the factor '(5c + 2d)' equal to zero and attempt to solve: Simplifying 5c + 2d = 0 Solving 5c + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. 5c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 5c + 0 = 0 + -2d 5c = 0 + -2d Remove the zero: 5c = -2d Divide each side by '5'. c = -0.4d Simplifying c = -0.4dSubproblem 2
Set the factor '(5c + 2d)' equal to zero and attempt to solve: Simplifying 5c + 2d = 0 Solving 5c + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. 5c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 5c + 0 = 0 + -2d 5c = 0 + -2d Remove the zero: 5c = -2d Divide each side by '5'. c = -0.4d Simplifying c = -0.4dSolution
c = {-0.4d, -0.4d}
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