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Simplifying 12c2 + -5 = -11c Reorder the terms: -5 + 12c2 = -11c Solving -5 + 12c2 = -11c Solving for variable 'c'. Reorder the terms: -5 + 11c + 12c2 = -11c + 11c Combine like terms: -11c + 11c = 0 -5 + 11c + 12c2 = 0 Factor a trinomial. (-5 + -4c)(1 + -3c) = 0Subproblem 1
Set the factor '(-5 + -4c)' equal to zero and attempt to solve: Simplifying -5 + -4c = 0 Solving -5 + -4c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4c = 0 + 5 -4c = 0 + 5 Combine like terms: 0 + 5 = 5 -4c = 5 Divide each side by '-4'. c = -1.25 Simplifying c = -1.25Subproblem 2
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 = 0.3333333333Solution
c = {-1.25, 0.3333333333}
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