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