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Simplifying 15c2 + 28cd + 5d2 = 0 Reorder the terms: 28cd + 15c2 + 5d2 = 0 Solving 28cd + 15c2 + 5d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + d)(3c + 5d) = 0Subproblem 1
Set the factor '(5c + d)' equal to zero and attempt to solve: Simplifying 5c + d = 0 Solving 5c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 5c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 5c + 0 = 0 + -1d 5c = 0 + -1d Remove the zero: 5c = -1d Divide each side by '5'. c = -0.2d Simplifying c = -0.2dSubproblem 2
Set the factor '(3c + 5d)' equal to zero and attempt to solve: Simplifying 3c + 5d = 0 Solving 3c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 3c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 3c + 0 = 0 + -5d 3c = 0 + -5d Remove the zero: 3c = -5d Divide each side by '3'. c = -1.666666667d Simplifying c = -1.666666667dSolution
c = {-0.2d, -1.666666667d}
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