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Simplifying 6c2 + -5cd = d2 Reorder the terms: -5cd + 6c2 = d2 Solving -5cd + 6c2 = d2 Solving for variable 'c'. Combine like terms: d2 + -1d2 = 0 -5cd + 6c2 + -1d2 = 0 Factor a trinomial. (c + -1d)(6c + d) = 0Subproblem 1
Set the factor '(c + -1d)' equal to zero and attempt to solve: Simplifying c + -1d = 0 Solving c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. c + -1d + d = 0 + d Combine like terms: -1d + d = 0 c + 0 = 0 + d c = 0 + d Remove the zero: c = d Simplifying c = dSubproblem 2
Set the factor '(6c + d)' equal to zero and attempt to solve: Simplifying 6c + d = 0 Solving 6c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 6c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 6c + 0 = 0 + -1d 6c = 0 + -1d Remove the zero: 6c = -1d Divide each side by '6'. c = -0.1666666667d Simplifying c = -0.1666666667dSolution
c = {d, -0.1666666667d}
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