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Simplifying (3 + -1u)(4u + -7) = 0 Reorder the terms: (3 + -1u)(-7 + 4u) = 0 Multiply (3 + -1u) * (-7 + 4u) (3(-7 + 4u) + -1u * (-7 + 4u)) = 0 ((-7 * 3 + 4u * 3) + -1u * (-7 + 4u)) = 0 ((-21 + 12u) + -1u * (-7 + 4u)) = 0 (-21 + 12u + (-7 * -1u + 4u * -1u)) = 0 (-21 + 12u + (7u + -4u2)) = 0 Combine like terms: 12u + 7u = 19u (-21 + 19u + -4u2) = 0 Solving -21 + 19u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + u)(7 + -4u) = 0Subproblem 1
Set the factor '(-3 + u)' equal to zero and attempt to solve: Simplifying -3 + u = 0 Solving -3 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u = 0 + 3 u = 0 + 3 Combine like terms: 0 + 3 = 3 u = 3 Simplifying u = 3Subproblem 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 = {3, 1.75}
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