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Simplifying (3u + -2)(7 + u) = 0 Reorder the terms: (-2 + 3u)(7 + u) = 0 Multiply (-2 + 3u) * (7 + u) (-2(7 + u) + 3u * (7 + u)) = 0 ((7 * -2 + u * -2) + 3u * (7 + u)) = 0 ((-14 + -2u) + 3u * (7 + u)) = 0 (-14 + -2u + (7 * 3u + u * 3u)) = 0 (-14 + -2u + (21u + 3u2)) = 0 Combine like terms: -2u + 21u = 19u (-14 + 19u + 3u2) = 0 Solving -14 + 19u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(2 + -3u) = 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 '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667Solution
u = {-7, 0.6666666667}
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