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Simplifying c2 = -13c + 30 Reorder the terms: c2 = 30 + -13c Solving c2 = 30 + -13c Solving for variable 'c'. Reorder the terms: -30 + 13c + c2 = 30 + -13c + -30 + 13c Reorder the terms: -30 + 13c + c2 = 30 + -30 + -13c + 13c Combine like terms: 30 + -30 = 0 -30 + 13c + c2 = 0 + -13c + 13c -30 + 13c + c2 = -13c + 13c Combine like terms: -13c + 13c = 0 -30 + 13c + c2 = 0 Factor a trinomial. (-15 + -1c)(2 + -1c) = 0Subproblem 1
Set the factor '(-15 + -1c)' equal to zero and attempt to solve: Simplifying -15 + -1c = 0 Solving -15 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = 0 + 15 -1c = 0 + 15 Combine like terms: 0 + 15 = 15 -1c = 15 Divide each side by '-1'. c = -15 Simplifying c = -15Subproblem 2
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 = 2Solution
c = {-15, 2}
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