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Simplifying 8c = 2c2 + 6 Reorder the terms: 8c = 6 + 2c2 Solving 8c = 6 + 2c2 Solving for variable 'c'. Reorder the terms: -6 + 8c + -2c2 = 6 + 2c2 + -6 + -2c2 Reorder the terms: -6 + 8c + -2c2 = 6 + -6 + 2c2 + -2c2 Combine like terms: 6 + -6 = 0 -6 + 8c + -2c2 = 0 + 2c2 + -2c2 -6 + 8c + -2c2 = 2c2 + -2c2 Combine like terms: 2c2 + -2c2 = 0 -6 + 8c + -2c2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 4c + -1c2) = 0 Factor a trinomial. 2((-3 + c)(1 + -1c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + c)' equal to zero and attempt to solve: Simplifying -3 + c = 0 Solving -3 + c = 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 + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + c = 0 + 3 c = 0 + 3 Combine like terms: 0 + 3 = 3 c = 3 Simplifying c = 3Subproblem 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 = {3, 1}
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