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Simplifying 2c3 + -7c2d + 3cd2 = 0 Reorder the terms: 3cd2 + -7c2d + 2c3 = 0 Solving 3cd2 + -7c2d + 2c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(3d2 + -7cd + 2c2) = 0 Factor a trinomial. c((d + -2c)(3d + -1c)) = 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 '(d + -2c)' equal to zero and attempt to solve: Simplifying d + -2c = 0 Reorder the terms: -2c + d = 0 Solving -2c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. -2c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 -2c + 0 = 0 + -1d -2c = 0 + -1d Remove the zero: -2c = -1d Divide each side by '-2'. c = 0.5d Simplifying c = 0.5dSubproblem 3
Set the factor '(3d + -1c)' equal to zero and attempt to solve: Simplifying 3d + -1c = 0 Reorder the terms: -1c + 3d = 0 Solving -1c + 3d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. -1c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 -1c + 0 = 0 + -3d -1c = 0 + -3d Remove the zero: -1c = -3d Divide each side by '-1'. c = 3d Simplifying c = 3dSolution
c = {0, 0.5d, 3d}
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