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Simplifying (3 + -1c2d)(4 + -4c2d) = 0 Multiply (3 + -1c2d) * (4 + -4c2d) (3(4 + -4c2d) + -1c2d * (4 + -4c2d)) = 0 ((4 * 3 + -4c2d * 3) + -1c2d * (4 + -4c2d)) = 0 ((12 + -12c2d) + -1c2d * (4 + -4c2d)) = 0 (12 + -12c2d + (4 * -1c2d + -4c2d * -1c2d)) = 0 (12 + -12c2d + (-4c2d + 4c4d2)) = 0 Combine like terms: -12c2d + -4c2d = -16c2d (12 + -16c2d + 4c4d2) = 0 Solving 12 + -16c2d + 4c4d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -4c2d + c4d2) = 0 Factor a trinomial. 4((1 + -1c2d)(3 + -1c2d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1c2d)' equal to zero and attempt to solve: Simplifying 1 + -1c2d = 0 Solving 1 + -1c2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c2d = 0 + -1 -1c2d = 0 + -1 Combine like terms: 0 + -1 = -1 -1c2d = -1 Divide each side by '-1d'. c2 = d-1 Simplifying c2 = d-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1c2d)' equal to zero and attempt to solve: Simplifying 3 + -1c2d = 0 Solving 3 + -1c2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c2d = 0 + -3 -1c2d = 0 + -3 Combine like terms: 0 + -3 = -3 -1c2d = -3 Divide each side by '-1d'. c2 = 3d-1 Simplifying c2 = 3d-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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