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Simplifying 4c2 + 8c + -221 = 0 Reorder the terms: -221 + 8c + 4c2 = 0 Solving -221 + 8c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (-17 + -2c)(13 + -2c) = 0Subproblem 1
Set the factor '(-17 + -2c)' equal to zero and attempt to solve: Simplifying -17 + -2c = 0 Solving -17 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2c = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2c = 0 + 17 -2c = 0 + 17 Combine like terms: 0 + 17 = 17 -2c = 17 Divide each side by '-2'. c = -8.5 Simplifying c = -8.5Subproblem 2
Set the factor '(13 + -2c)' equal to zero and attempt to solve: Simplifying 13 + -2c = 0 Solving 13 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2c = 0 + -13 -2c = 0 + -13 Combine like terms: 0 + -13 = -13 -2c = -13 Divide each side by '-2'. c = 6.5 Simplifying c = 6.5Solution
c = {-8.5, 6.5}
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