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Simplifying 2c + -7c2d + 3cd2 = 0 Reorder the terms: 2c + 3cd2 + -7c2d = 0 Solving 2c + 3cd2 + -7c2d = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(2 + 3d2 + -7cd) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(2 + 3d2 + -7cd)' equal to zero and attempt to solve: Simplifying 2 + 3d2 + -7cd = 0 Reorder the terms: 2 + -7cd + 3d2 = 0 Solving 2 + -7cd + 3d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7cd + -2 + 3d2 = 0 + -2 Reorder the terms: 2 + -2 + -7cd + 3d2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7cd + 3d2 = 0 + -2 -7cd + 3d2 = 0 + -2 Combine like terms: 0 + -2 = -2 -7cd + 3d2 = -2 Add '-3d2' to each side of the equation. -7cd + 3d2 + -3d2 = -2 + -3d2 Combine like terms: 3d2 + -3d2 = 0 -7cd + 0 = -2 + -3d2 -7cd = -2 + -3d2 Divide each side by '-7d'. c = 0.2857142857d-1 + 0.4285714286d Simplifying c = 0.2857142857d-1 + 0.4285714286dSolution
c = {0, 0.2857142857d-1 + 0.4285714286d}
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