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Simplifying (4 + u)(5u + -7) = 0 Reorder the terms: (4 + u)(-7 + 5u) = 0 Multiply (4 + u) * (-7 + 5u) (4(-7 + 5u) + u(-7 + 5u)) = 0 ((-7 * 4 + 5u * 4) + u(-7 + 5u)) = 0 ((-28 + 20u) + u(-7 + 5u)) = 0 (-28 + 20u + (-7 * u + 5u * u)) = 0 (-28 + 20u + (-7u + 5u2)) = 0 Combine like terms: 20u + -7u = 13u (-28 + 13u + 5u2) = 0 Solving -28 + 13u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(7 + -5u) = 0Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 2
Set the factor '(7 + -5u)' equal to zero and attempt to solve: Simplifying 7 + -5u = 0 Solving 7 + -5u = 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 + -5u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5u = 0 + -7 -5u = 0 + -7 Combine like terms: 0 + -7 = -7 -5u = -7 Divide each side by '-5'. u = 1.4 Simplifying u = 1.4Solution
u = {-4, 1.4}
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