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Simplifying 15u3 + -50u4 + 35u3 = 0 Reorder the terms: 15u3 + 35u3 + -50u4 = 0 Combine like terms: 15u3 + 35u3 = 50u3 50u3 + -50u4 = 0 Solving 50u3 + -50u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '50u3'. 50u3(1 + -1u) = 0 Ignore the factor 50.Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {1}
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