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Simplifying c3 = 49c Solving c3 = 49c Solving for variable 'c'. Reorder the terms: -49c + c3 = 49c + -49c Combine like terms: 49c + -49c = 0 -49c + c3 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-49 + c2) = 0 Factor a difference between two squares. c((7 + c)(-7 + c)) = 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 '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Subproblem 3
Set the factor '(-7 + c)' equal to zero and attempt to solve: Simplifying -7 + c = 0 Solving -7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + c = 0 + 7 c = 0 + 7 Combine like terms: 0 + 7 = 7 c = 7 Simplifying c = 7Solution
c = {0, -7, 7}
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