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Simplifying 1C + C2 = 90 Solving 1C + C2 = 90 Solving for variable 'C'. Reorder the terms: -90 + 1C + C2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 1C + C2 = 0 Factor a trinomial. (-10 + -1C)(9 + -1C) = 0Subproblem 1
Set the factor '(-10 + -1C)' equal to zero and attempt to solve: Simplifying -10 + -1C = 0 Solving -10 + -1C = 0 Move all terms containing C to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1C = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1C = 0 + 10 -1C = 0 + 10 Combine like terms: 0 + 10 = 10 -1C = 10 Divide each side by '-1'. C = -10 Simplifying C = -10Subproblem 2
Set the factor '(9 + -1C)' equal to zero and attempt to solve: Simplifying 9 + -1C = 0 Solving 9 + -1C = 0 Move all terms containing C to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1C = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1C = 0 + -9 -1C = 0 + -9 Combine like terms: 0 + -9 = -9 -1C = -9 Divide each side by '-1'. C = 9 Simplifying C = 9Solution
C = {-10, 9}
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