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Simplifying 2c2 + 18c = 44 Reorder the terms: 18c + 2c2 = 44 Solving 18c + 2c2 = 44 Solving for variable 'c'. Reorder the terms: -44 + 18c + 2c2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 18c + 2c2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + 9c + c2) = 0 Factor a trinomial. 2((-11 + -1c)(2 + -1c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1c)' equal to zero and attempt to solve: Simplifying -11 + -1c = 0 Solving -11 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1c = 0 + 11 -1c = 0 + 11 Combine like terms: 0 + 11 = 11 -1c = 11 Divide each side by '-1'. c = -11 Simplifying c = -11Subproblem 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 = {-11, 2}
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