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Simplifying (4u + -7)(2 + -1u) = 0 Reorder the terms: (-7 + 4u)(2 + -1u) = 0 Multiply (-7 + 4u) * (2 + -1u) (-7(2 + -1u) + 4u * (2 + -1u)) = 0 ((2 * -7 + -1u * -7) + 4u * (2 + -1u)) = 0 ((-14 + 7u) + 4u * (2 + -1u)) = 0 (-14 + 7u + (2 * 4u + -1u * 4u)) = 0 (-14 + 7u + (8u + -4u2)) = 0 Combine like terms: 7u + 8u = 15u (-14 + 15u + -4u2) = 0 Solving -14 + 15u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + u)(7 + -4u) = 0Subproblem 1
Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 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 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2Subproblem 2
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 = 1.75Solution
u = {2, 1.75}
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