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Simplifying 10c2 + 33c = -20 Reorder the terms: 33c + 10c2 = -20 Solving 33c + 10c2 = -20 Solving for variable 'c'. Reorder the terms: 20 + 33c + 10c2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 33c + 10c2 = 0 Factor a trinomial. (5 + 2c)(4 + 5c) = 0Subproblem 1
Set the factor '(5 + 2c)' equal to zero and attempt to solve: Simplifying 5 + 2c = 0 Solving 5 + 2c = 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 + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 0 + -5 2c = 0 + -5 Combine like terms: 0 + -5 = -5 2c = -5 Divide each side by '2'. c = -2.5 Simplifying c = -2.5Subproblem 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 = {-2.5, -0.8}
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