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Simplifying cx + c2 = 5c2 + -3cx Reorder the terms: cx + c2 = -3cx + 5c2 Solving cx + c2 = -3cx + 5c2 Solving for variable 'c'. Reorder the terms: cx + 3cx + c2 + -5c2 = -3cx + 5c2 + 3cx + -5c2 Combine like terms: cx + 3cx = 4cx 4cx + c2 + -5c2 = -3cx + 5c2 + 3cx + -5c2 Combine like terms: c2 + -5c2 = -4c2 4cx + -4c2 = -3cx + 5c2 + 3cx + -5c2 Reorder the terms: 4cx + -4c2 = -3cx + 3cx + 5c2 + -5c2 Combine like terms: -3cx + 3cx = 0 4cx + -4c2 = 0 + 5c2 + -5c2 4cx + -4c2 = 5c2 + -5c2 Combine like terms: 5c2 + -5c2 = 0 4cx + -4c2 = 0 Factor out the Greatest Common Factor (GCF), '4c'. 4c(x + -1c) = 0 Ignore the factor 4.Subproblem 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 '(x + -1c)' equal to zero and attempt to solve: Simplifying x + -1c = 0 Reorder the terms: -1c + x = 0 Solving -1c + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. -1c + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1c + 0 = 0 + -1x -1c = 0 + -1x Remove the zero: -1c = -1x Divide each side by '-1'. c = x Simplifying c = xSolution
c = {0, x}
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