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Simplifying 4(c + -1) = 4c2 + -4 Reorder the terms: 4(-1 + c) = 4c2 + -4 (-1 * 4 + c * 4) = 4c2 + -4 (-4 + 4c) = 4c2 + -4 Reorder the terms: -4 + 4c = -4 + 4c2 Add '4' to each side of the equation. -4 + 4 + 4c = -4 + 4 + 4c2 Combine like terms: -4 + 4 = 0 0 + 4c = -4 + 4 + 4c2 4c = -4 + 4 + 4c2 Combine like terms: -4 + 4 = 0 4c = 0 + 4c2 4c = 4c2 Solving 4c = 4c2 Solving for variable 'c'. Combine like terms: 4c2 + -4c2 = 0 4c + -4c2 = 0 Factor out the Greatest Common Factor (GCF), '4c'. 4c(1 + -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 '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {0, 1}
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