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Simplifying 8C2 + 18C + -35 = 0 Reorder the terms: -35 + 18C + 8C2 = 0 Solving -35 + 18C + 8C2 = 0 Solving for variable 'C'. Factor a trinomial. (-7 + -2C)(5 + -4C) = 0Subproblem 1
Set the factor '(-7 + -2C)' equal to zero and attempt to solve: Simplifying -7 + -2C = 0 Solving -7 + -2C = 0 Move all terms containing C to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2C = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2C = 0 + 7 -2C = 0 + 7 Combine like terms: 0 + 7 = 7 -2C = 7 Divide each side by '-2'. C = -3.5 Simplifying C = -3.5Subproblem 2
Set the factor '(5 + -4C)' equal to zero and attempt to solve: Simplifying 5 + -4C = 0 Solving 5 + -4C = 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 + -4C = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4C = 0 + -5 -4C = 0 + -5 Combine like terms: 0 + -5 = -5 -4C = -5 Divide each side by '-4'. C = 1.25 Simplifying C = 1.25Solution
C = {-3.5, 1.25}
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