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Simplifying C(u) = -2u * 2 + 30u Multiply C * u uC = -2u * 2 + 30u Reorder the terms for easier multiplication: uC = -2 * 2u + 30u Multiply -2 * 2 uC = -4u + 30u Combine like terms: -4u + 30u = 26u uC = 26u Solving uC = 26u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-26u' to each side of the equation. -26u + uC = 26u + -26u Combine like terms: 26u + -26u = 0 -26u + uC = 0 Factor out the Greatest Common Factor (GCF), 'u'. u(-26 + C) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-26 + C)' equal to zero and attempt to solve: Simplifying -26 + C = 0 Solving -26 + C = 0 Move all terms containing u to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + C = 0 + 26 Combine like terms: -26 + 26 = 0 0 + C = 0 + 26 C = 0 + 26 Combine like terms: 0 + 26 = 26 C = 26 Add '-1C' to each side of the equation. C + -1C = 26 + -1C Combine like terms: C + -1C = 0 0 = 26 + -1C Simplifying 0 = 26 + -1C The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
u = {0}
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