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Simplifying 3c2 = 16c + 12 Reorder the terms: 3c2 = 12 + 16c Solving 3c2 = 12 + 16c Solving for variable 'c'. Reorder the terms: -12 + -16c + 3c2 = 12 + 16c + -12 + -16c Reorder the terms: -12 + -16c + 3c2 = 12 + -12 + 16c + -16c Combine like terms: 12 + -12 = 0 -12 + -16c + 3c2 = 0 + 16c + -16c -12 + -16c + 3c2 = 16c + -16c Combine like terms: 16c + -16c = 0 -12 + -16c + 3c2 = 0 Factor a trinomial. (-2 + -3c)(6 + -1c) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {-0.6666666667, 6}
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