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Simplifying -5c2 + 9c = 4 Reorder the terms: 9c + -5c2 = 4 Solving 9c + -5c2 = 4 Solving for variable 'c'. Reorder the terms: -4 + 9c + -5c2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 9c + -5c2 = 0 Factor a trinomial. (-1 + c)(4 + -5c) = 0Subproblem 1
Set the factor '(-1 + c)' equal to zero and attempt to solve: Simplifying -1 + c = 0 Solving -1 + c = 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 + c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c = 0 + 1 c = 0 + 1 Combine like terms: 0 + 1 = 1 c = 1 Simplifying c = 1Subproblem 2
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 = 0.8Solution
c = {1, 0.8}
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