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Simplifying 21c2 + -14c + -7 = 0 Reorder the terms: -7 + -14c + 21c2 = 0 Solving -7 + -14c + 21c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '7'. 7(-1 + -2c + 3c2) = 0 Factor a trinomial. 7((-1 + -3c)(1 + -1c)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-1 + -3c)' equal to zero and attempt to solve: Simplifying -1 + -3c = 0 Solving -1 + -3c = 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 + -3c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = 0 + 1 -3c = 0 + 1 Combine like terms: 0 + 1 = 1 -3c = 1 Divide each side by '-3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 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 = {-0.3333333333, 1}
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