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Simplifying (7c2d4 + -4c5)(-6cd3) = 0 Remove parenthesis around (-6cd3) (7c2d4 + -4c5) * -6cd3 = 0 Reorder the terms for easier multiplication: -6cd3(7c2d4 + -4c5) = 0 (7c2d4 * -6cd3 + -4c5 * -6cd3) = 0 (-42c3d7 + 24c6d3) = 0 Solving -42c3d7 + 24c6d3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c3d3'. 6c3d3(-7d4 + 4c3) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'c3d3' equal to zero and attempt to solve: Simplifying c3d3 = 0 Solving c3d3 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c3d3 = 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 '(-7d4 + 4c3)' equal to zero and attempt to solve: Simplifying -7d4 + 4c3 = 0 Reorder the terms: 4c3 + -7d4 = 0 Solving 4c3 + -7d4 = 0 Move all terms containing c to the left, all other terms to the right. Add '7d4' to each side of the equation. 4c3 + -7d4 + 7d4 = 0 + 7d4 Combine like terms: -7d4 + 7d4 = 0 4c3 + 0 = 0 + 7d4 4c3 = 0 + 7d4 Remove the zero: 4c3 = 7d4 Divide each side by '4'. c3 = 1.75d4 Simplifying c3 = 1.75d4 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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