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Simplifying 12c2 + -13cd + -4d2 = 0 Reorder the terms: -13cd + 12c2 + -4d2 = 0 Solving -13cd + 12c2 + -4d2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + -4d)(4c + d) = 0Subproblem 1
Set the factor '(3c + -4d)' equal to zero and attempt to solve: Simplifying 3c + -4d = 0 Solving 3c + -4d = 0 Move all terms containing c to the left, all other terms to the right. Add '4d' to each side of the equation. 3c + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 3c + 0 = 0 + 4d 3c = 0 + 4d Remove the zero: 3c = 4d Divide each side by '3'. c = 1.333333333d Simplifying c = 1.333333333dSubproblem 2
Set the factor '(4c + d)' equal to zero and attempt to solve: Simplifying 4c + d = 0 Solving 4c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 4c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 4c + 0 = 0 + -1d 4c = 0 + -1d Remove the zero: 4c = -1d Divide each side by '4'. c = -0.25d Simplifying c = -0.25dSolution
c = {1.333333333d, -0.25d}
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