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Simplifying (3d4 + -4d3 + 6)(-3cd) = 0 Reorder the terms: (6 + -4d3 + 3d4)(-3cd) = 0 Remove parenthesis around (-3cd) (6 + -4d3 + 3d4) * -3cd = 0 Reorder the terms for easier multiplication: -3cd(6 + -4d3 + 3d4) = 0 (6 * -3cd + -4d3 * -3cd + 3d4 * -3cd) = 0 (-18cd + 12cd4 + -9cd5) = 0 Solving -18cd + 12cd4 + -9cd5 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3cd'. 3cd(-6 + 4d3 + -3d4) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cd' equal to zero and attempt to solve: Simplifying cd = 0 Solving cd = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cd = 0 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 '(-6 + 4d3 + -3d4)' equal to zero and attempt to solve: Simplifying -6 + 4d3 + -3d4 = 0 Solving -6 + 4d3 + -3d4 = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4d3 + 6 + -3d4 = 0 + 6 Reorder the terms: -6 + 6 + 4d3 + -3d4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4d3 + -3d4 = 0 + 6 4d3 + -3d4 = 0 + 6 Combine like terms: 0 + 6 = 6 4d3 + -3d4 = 6 Add '-4d3' to each side of the equation. 4d3 + -4d3 + -3d4 = 6 + -4d3 Combine like terms: 4d3 + -4d3 = 0 0 + -3d4 = 6 + -4d3 -3d4 = 6 + -4d3 Add '3d4' to each side of the equation. -3d4 + 3d4 = 6 + -4d3 + 3d4 Combine like terms: -3d4 + 3d4 = 0 0 = 6 + -4d3 + 3d4 Simplifying 0 = 6 + -4d3 + 3d4 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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