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Simplifying 5c2 = 26c + 24 Reorder the terms: 5c2 = 24 + 26c Solving 5c2 = 24 + 26c Solving for variable 'c'. Reorder the terms: -24 + -26c + 5c2 = 24 + 26c + -24 + -26c Reorder the terms: -24 + -26c + 5c2 = 24 + -24 + 26c + -26c Combine like terms: 24 + -24 = 0 -24 + -26c + 5c2 = 0 + 26c + -26c -24 + -26c + 5c2 = 26c + -26c Combine like terms: 26c + -26c = 0 -24 + -26c + 5c2 = 0 Factor a trinomial. (-4 + -5c)(6 + -1c) = 0Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve: Simplifying -4 + -5c = 0 Solving -4 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5c = 0 + 4 -5c = 0 + 4 Combine like terms: 0 + 4 = 4 -5c = 4 Divide each side by '-5'. c = -0.8 Simplifying c = -0.8Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 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 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {-0.8, 6}
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