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Simplifying 16c2 + 24cd + 9d2 = 0 Reorder the terms: 24cd + 16c2 + 9d2 = 0 Solving 24cd + 16c2 + 9d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 3d)(4c + 3d) = 0Subproblem 1
Set the factor '(4c + 3d)' equal to zero and attempt to solve: Simplifying 4c + 3d = 0 Solving 4c + 3d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. 4c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 4c + 0 = 0 + -3d 4c = 0 + -3d Remove the zero: 4c = -3d Divide each side by '4'. c = -0.75d Simplifying c = -0.75dSubproblem 2
Set the factor '(4c + 3d)' equal to zero and attempt to solve: Simplifying 4c + 3d = 0 Solving 4c + 3d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. 4c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 4c + 0 = 0 + -3d 4c = 0 + -3d Remove the zero: 4c = -3d Divide each side by '4'. c = -0.75d Simplifying c = -0.75dSolution
c = {-0.75d, -0.75d}
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