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Simplifying (15c2) + 22c + -48 = 0 Reorder the terms: -48 + 22c + (15c2) = 0 Solving -48 + 22c + (15c2) = 0 Solving for variable 'c'. Factor a trinomial. (-8 + -3c)(6 + -5c) = 0Subproblem 1
Set the factor '(-8 + -3c)' equal to zero and attempt to solve: Simplifying -8 + -3c = 0 Solving -8 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3c = 0 + 8 -3c = 0 + 8 Combine like terms: 0 + 8 = 8 -3c = 8 Divide each side by '-3'. c = -2.666666667 Simplifying c = -2.666666667Subproblem 2
Set the factor '(6 + -5c)' equal to zero and attempt to solve: Simplifying 6 + -5c = 0 Solving 6 + -5c = 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 + -5c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5c = 0 + -6 -5c = 0 + -6 Combine like terms: 0 + -6 = -6 -5c = -6 Divide each side by '-5'. c = 1.2 Simplifying c = 1.2Solution
c = {-2.666666667, 1.2}
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