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Simplifying 3c2 = 13c + 10 Reorder the terms: 3c2 = 10 + 13c Solving 3c2 = 10 + 13c Solving for variable 'c'. Reorder the terms: -10 + -13c + 3c2 = 10 + 13c + -10 + -13c Reorder the terms: -10 + -13c + 3c2 = 10 + -10 + 13c + -13c Combine like terms: 10 + -10 = 0 -10 + -13c + 3c2 = 0 + 13c + -13c -10 + -13c + 3c2 = 13c + -13c Combine like terms: 13c + -13c = 0 -10 + -13c + 3c2 = 0 Factor a trinomial. (-2 + -3c)(5 + -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 '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 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 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5Solution
c = {-0.6666666667, 5}
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