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Simplifying 4c2 = -38c + 20 Reorder the terms: 4c2 = 20 + -38c Solving 4c2 = 20 + -38c Solving for variable 'c'. Reorder the terms: -20 + 38c + 4c2 = 20 + -38c + -20 + 38c Reorder the terms: -20 + 38c + 4c2 = 20 + -20 + -38c + 38c Combine like terms: 20 + -20 = 0 -20 + 38c + 4c2 = 0 + -38c + 38c -20 + 38c + 4c2 = -38c + 38c Combine like terms: -38c + 38c = 0 -20 + 38c + 4c2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 19c + 2c2) = 0 Factor a trinomial. 2((-10 + -1c)(1 + -2c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -1c)' equal to zero and attempt to solve: Simplifying -10 + -1c = 0 Solving -10 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = 0 + 10 -1c = 0 + 10 Combine like terms: 0 + 10 = 10 -1c = 10 Divide each side by '-1'. c = -10 Simplifying c = -10Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 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 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5Solution
c = {-10, 0.5}
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