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Simplifying c(2x + -1d) = 4cford Reorder the terms: c(-1d + 2x) = 4cford (-1d * c + 2x * c) = 4cford (-1cd + 2cx) = 4cford Solving -1cd + 2cx = 4cdfor Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cdfor' to each side of the equation. -1cd + -4cdfor + 2cx = 4cdfor + -4cdfor Combine like terms: 4cdfor + -4cdfor = 0 -1cd + -4cdfor + 2cx = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-1d + -4dfor + 2x) = 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 '(-1d + -4dfor + 2x)' equal to zero and attempt to solve: Simplifying -1d + -4dfor + 2x = 0 Solving -1d + -4dfor + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. -1d + -4dfor + d + 2x = 0 + d Reorder the terms: -1d + d + -4dfor + 2x = 0 + d Combine like terms: -1d + d = 0 0 + -4dfor + 2x = 0 + d -4dfor + 2x = 0 + d Remove the zero: -4dfor + 2x = d Add '4dfor' to each side of the equation. -4dfor + 4dfor + 2x = d + 4dfor Combine like terms: -4dfor + 4dfor = 0 0 + 2x = d + 4dfor 2x = d + 4dfor Add '-2x' to each side of the equation. 2x + -2x = d + 4dfor + -2x Combine like terms: 2x + -2x = 0 0 = d + 4dfor + -2x Simplifying 0 = d + 4dfor + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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