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Simplifying (2u + -7)(3 + u) = 0 Reorder the terms: (-7 + 2u)(3 + u) = 0 Multiply (-7 + 2u) * (3 + u) (-7(3 + u) + 2u * (3 + u)) = 0 ((3 * -7 + u * -7) + 2u * (3 + u)) = 0 ((-21 + -7u) + 2u * (3 + u)) = 0 (-21 + -7u + (3 * 2u + u * 2u)) = 0 (-21 + -7u + (6u + 2u2)) = 0 Combine like terms: -7u + 6u = -1u (-21 + -1u + 2u2) = 0 Solving -21 + -1u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + -1u)(7 + -2u) = 0Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 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 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3Subproblem 2
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 = 3.5Solution
u = {-3, 3.5}
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