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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 = 3u (-28 + 3u + u2) = 0 Solving -28 + 3u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(4 + -1u) = 0Subproblem 1
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 = -7Subproblem 2
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 = 4Solution
u = {-7, 4}
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