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Simplifying 4c2 + -12cd + 9d2 = 0 Reorder the terms: -12cd + 4c2 + 9d2 = 0 Solving -12cd + 4c2 + 9d2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -3d)(2c + -3d) = 0Subproblem 1
Set the factor '(2c + -3d)' equal to zero and attempt to solve: Simplifying 2c + -3d = 0 Solving 2c + -3d = 0 Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 2c + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 2c + 0 = 0 + 3d 2c = 0 + 3d Remove the zero: 2c = 3d Divide each side by '2'. c = 1.5d Simplifying c = 1.5dSubproblem 2
Set the factor '(2c + -3d)' equal to zero and attempt to solve: Simplifying 2c + -3d = 0 Solving 2c + -3d = 0 Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 2c + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 2c + 0 = 0 + 3d 2c = 0 + 3d Remove the zero: 2c = 3d Divide each side by '2'. c = 1.5d Simplifying c = 1.5dSolution
c = {1.5d, 1.5d}
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