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Simplifying 5u2 + 6u2t + -3u2t + u2 + -2ut = 0 Reorder the terms: -2tu + 6tu2 + -3tu2 + 5u2 + u2 = 0 Combine like terms: 6tu2 + -3tu2 = 3tu2 -2tu + 3tu2 + 5u2 + u2 = 0 Combine like terms: 5u2 + u2 = 6u2 -2tu + 3tu2 + 6u2 = 0 Solving -2tu + 3tu2 + 6u2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6u2' to each side of the equation. -2tu + 3tu2 + 6u2 + -6u2 = 0 + -6u2 Combine like terms: 6u2 + -6u2 = 0 -2tu + 3tu2 + 0 = 0 + -6u2 -2tu + 3tu2 = 0 + -6u2 Remove the zero: -2tu + 3tu2 = -6u2 Combine like terms: -6u2 + 6u2 = 0 -2tu + 3tu2 + 6u2 = 0 Factor out the Greatest Common Factor (GCF), 'u'. u(-2t + 3tu + 6u) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing t to the left, all other terms to the right. Add '-1u' to each side of the equation. u + -1u = 0 + -1u Remove the zero: 0 = -1u Simplifying 0 = -1u 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 '(-2t + 3tu + 6u)' equal to zero and attempt to solve: Simplifying -2t + 3tu + 6u = 0 Solving -2t + 3tu + 6u = 0 Move all terms containing t to the left, all other terms to the right. Add '-6u' to each side of the equation. -2t + 3tu + 6u + -6u = 0 + -6u Combine like terms: 6u + -6u = 0 -2t + 3tu + 0 = 0 + -6u -2t + 3tu = 0 + -6u Remove the zero: -2t + 3tu = -6u The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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