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Simplifying (2u + -7)(2 + -1u) = 0 Reorder the terms: (-7 + 2u)(2 + -1u) = 0 Multiply (-7 + 2u) * (2 + -1u) (-7(2 + -1u) + 2u * (2 + -1u)) = 0 ((2 * -7 + -1u * -7) + 2u * (2 + -1u)) = 0 ((-14 + 7u) + 2u * (2 + -1u)) = 0 (-14 + 7u + (2 * 2u + -1u * 2u)) = 0 (-14 + 7u + (4u + -2u2)) = 0 Combine like terms: 7u + 4u = 11u (-14 + 11u + -2u2) = 0 Solving -14 + 11u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + 2u)(2 + -1u) = 0Subproblem 1
Set the factor '(-7 + 2u)' equal to zero and attempt to solve: Simplifying -7 + 2u = 0 Solving -7 + 2u = 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 + 2u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2u = 0 + 7 2u = 0 + 7 Combine like terms: 0 + 7 = 7 2u = 7 Divide each side by '2'. u = 3.5 Simplifying u = 3.5Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {3.5, 2}
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