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Simplifying 0 = (3c2) + -4c + -4 Reorder the terms: 0 = -4 + -4c + (3c2) Solving 0 = -4 + -4c + (3c2) Solving for variable 'c'. Combine like terms: 0 + 4 = 4 4 + 4c + (-3c2) = -4 + -4c + (3c2) + 4 + 4c + (-3c2) Reorder the terms: 4 + 4c + (-3c2) = -4 + 4 + -4c + 4c + (3c2) + (-3c2) Combine like terms: -4 + 4 = 0 4 + 4c + (-3c2) = 0 + -4c + 4c + (3c2) + (-3c2) 4 + 4c + (-3c2) = -4c + 4c + (3c2) + (-3c2) Combine like terms: -4c + 4c = 0 4 + 4c + (-3c2) = 0 + (3c2) + (-3c2) 4 + 4c + (-3c2) = (3c2) + (-3c2) Combine like terms: (3c2) + (-3c2) = 0 4 + 4c + (-3c2) = 0 Factor a trinomial. (2 + -1c)(2 + 3c) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(2 + 3c)' equal to zero and attempt to solve: Simplifying 2 + 3c = 0 Solving 2 + 3c = 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 + 3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 0 + -2 3c = 0 + -2 Combine like terms: 0 + -2 = -2 3c = -2 Divide each side by '3'. c = -0.6666666667 Simplifying c = -0.6666666667Solution
c = {2, -0.6666666667}
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