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Simplifying 2C + -10C2 + 8C3 = 0 Solving 2C + -10C2 + 8C3 = 0 Solving for variable 'C'. Factor out the Greatest Common Factor (GCF), '2C'. 2C(1 + -5C + 4C2) = 0 Factor a trinomial. 2C((1 + -4C)(1 + -1C)) = 0 Ignore the factor 2.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 + -4C)' equal to zero and attempt to solve: Simplifying 1 + -4C = 0 Solving 1 + -4C = 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 + -4C = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4C = 0 + -1 -4C = 0 + -1 Combine like terms: 0 + -1 = -1 -4C = -1 Divide each side by '-4'. C = 0.25 Simplifying C = 0.25Subproblem 3
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, 0.25, 1}
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