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Simplifying (6 + -1u)(4u + 7) = 0 Reorder the terms: (6 + -1u)(7 + 4u) = 0 Multiply (6 + -1u) * (7 + 4u) (6(7 + 4u) + -1u * (7 + 4u)) = 0 ((7 * 6 + 4u * 6) + -1u * (7 + 4u)) = 0 ((42 + 24u) + -1u * (7 + 4u)) = 0 (42 + 24u + (7 * -1u + 4u * -1u)) = 0 (42 + 24u + (-7u + -4u2)) = 0 Combine like terms: 24u + -7u = 17u (42 + 17u + -4u2) = 0 Solving 42 + 17u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (6 + -1u)(7 + 4u) = 0Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 2
Set the factor '(7 + 4u)' equal to zero and attempt to solve: Simplifying 7 + 4u = 0 Solving 7 + 4u = 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 + 4u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4u = 0 + -7 4u = 0 + -7 Combine like terms: 0 + -7 = -7 4u = -7 Divide each side by '4'. u = -1.75 Simplifying u = -1.75Solution
u = {6, -1.75}
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