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Simplifying (5u + -3)(7 + -1u) = 0 Reorder the terms: (-3 + 5u)(7 + -1u) = 0 Multiply (-3 + 5u) * (7 + -1u) (-3(7 + -1u) + 5u * (7 + -1u)) = 0 ((7 * -3 + -1u * -3) + 5u * (7 + -1u)) = 0 ((-21 + 3u) + 5u * (7 + -1u)) = 0 (-21 + 3u + (7 * 5u + -1u * 5u)) = 0 (-21 + 3u + (35u + -5u2)) = 0 Combine like terms: 3u + 35u = 38u (-21 + 38u + -5u2) = 0 Solving -21 + 38u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + u)(3 + -5u) = 0Subproblem 1
Set the factor '(-7 + u)' equal to zero and attempt to solve: Simplifying -7 + u = 0 Solving -7 + u = 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 + u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + u = 0 + 7 u = 0 + 7 Combine like terms: 0 + 7 = 7 u = 7 Simplifying u = 7Subproblem 2
Set the factor '(3 + -5u)' equal to zero and attempt to solve: Simplifying 3 + -5u = 0 Solving 3 + -5u = 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 + -5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 0 + -3 -5u = 0 + -3 Combine like terms: 0 + -3 = -3 -5u = -3 Divide each side by '-5'. u = 0.6 Simplifying u = 0.6Solution
u = {7, 0.6}
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