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Simplifying (1 + -1u)(4u + -7) = 0 Reorder the terms: (1 + -1u)(-7 + 4u) = 0 Multiply (1 + -1u) * (-7 + 4u) (1(-7 + 4u) + -1u * (-7 + 4u)) = 0 ((-7 * 1 + 4u * 1) + -1u * (-7 + 4u)) = 0 ((-7 + 4u) + -1u * (-7 + 4u)) = 0 (-7 + 4u + (-7 * -1u + 4u * -1u)) = 0 (-7 + 4u + (7u + -4u2)) = 0 Combine like terms: 4u + 7u = 11u (-7 + 11u + -4u2) = 0 Solving -7 + 11u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + 4u)(1 + -1u) = 0Subproblem 1
Set the factor '(-7 + 4u)' equal to zero and attempt to solve: Simplifying -7 + 4u = 0 Solving -7 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4u = 0 + 7 4u = 0 + 7 Combine like terms: 0 + 7 = 7 4u = 7 Divide each side by '4'. u = 1.75 Simplifying u = 1.75Subproblem 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 = {1.75, 1}
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