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Simplifying (u + -7)(u + -4) = 0 Reorder the terms: (-7 + u)(u + -4) = 0 Reorder the terms: (-7 + u)(-4 + u) = 0 Multiply (-7 + u) * (-4 + u) (-7(-4 + u) + u(-4 + u)) = 0 ((-4 * -7 + u * -7) + u(-4 + u)) = 0 ((28 + -7u) + u(-4 + u)) = 0 (28 + -7u + (-4 * u + u * u)) = 0 (28 + -7u + (-4u + u2)) = 0 Combine like terms: -7u + -4u = -11u (28 + -11u + u2) = 0 Solving 28 + -11u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -1u)(7 + -1u) = 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 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 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 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7Solution
u = {4, 7}
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