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Simplifying C(c + -2)(c + 3) = 0 Reorder the terms: C(-2 + c)(c + 3) = 0 Reorder the terms: C(-2 + c)(3 + c) = 0 Multiply (-2 + c) * (3 + c) C(-2(3 + c) + c(3 + c)) = 0 C((3 * -2 + c * -2) + c(3 + c)) = 0 C((-6 + -2c) + c(3 + c)) = 0 C(-6 + -2c + (3 * c + c * c)) = 0 C(-6 + -2c + (3c + c2)) = 0 Combine like terms: -2c + 3c = 1c C(-6 + 1c + c2) = 0 (-6 * C + 1c * C + c2 * C) = 0 (-6C + 1cC + c2C) = 0 Solving -6C + 1cC + c2C = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'C'. C(-6 + c + c2) = 0 Factor a trinomial. C((-3 + -1c)(2 + -1c)) = 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 '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing C to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Add 'c' to each side of the equation. -1c + c = 3 + c Combine like terms: -1c + c = 0 0 = 3 + c Simplifying 0 = 3 + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing C to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Add 'c' to each side of the equation. -1c + c = -2 + c Combine like terms: -1c + c = 0 0 = -2 + c Simplifying 0 = -2 + c 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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