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Simplifying 0 = 15c2 + -22c + -5 Reorder the terms: 0 = -5 + -22c + 15c2 Solving 0 = -5 + -22c + 15c2 Solving for variable 'c'. Combine like terms: 0 + 5 = 5 5 + 22c + -15c2 = -5 + -22c + 15c2 + 5 + 22c + -15c2 Reorder the terms: 5 + 22c + -15c2 = -5 + 5 + -22c + 22c + 15c2 + -15c2 Combine like terms: -5 + 5 = 0 5 + 22c + -15c2 = 0 + -22c + 22c + 15c2 + -15c2 5 + 22c + -15c2 = -22c + 22c + 15c2 + -15c2 Combine like terms: -22c + 22c = 0 5 + 22c + -15c2 = 0 + 15c2 + -15c2 5 + 22c + -15c2 = 15c2 + -15c2 Combine like terms: 15c2 + -15c2 = 0 5 + 22c + -15c2 = 0 Factor a trinomial. (5 + -3c)(1 + 5c) = 0Subproblem 1
Set the factor '(5 + -3c)' equal to zero and attempt to solve: Simplifying 5 + -3c = 0 Solving 5 + -3c = 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 + -3c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3c = 0 + -5 -3c = 0 + -5 Combine like terms: 0 + -5 = -5 -3c = -5 Divide each side by '-3'. c = 1.666666667 Simplifying c = 1.666666667Subproblem 2
Set the factor '(1 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 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 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Solution
c = {1.666666667, -0.2}
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