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Simplifying u(u + -9) + -12(u + -9) = 0 Reorder the terms: u(-9 + u) + -12(u + -9) = 0 (-9 * u + u * u) + -12(u + -9) = 0 (-9u + u2) + -12(u + -9) = 0 Reorder the terms: -9u + u2 + -12(-9 + u) = 0 -9u + u2 + (-9 * -12 + u * -12) = 0 -9u + u2 + (108 + -12u) = 0 Reorder the terms: 108 + -9u + -12u + u2 = 0 Combine like terms: -9u + -12u = -21u 108 + -21u + u2 = 0 Solving 108 + -21u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -1u)(12 + -1u) = 0Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 2
Set the factor '(12 + -1u)' equal to zero and attempt to solve: Simplifying 12 + -1u = 0 Solving 12 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1u = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1u = 0 + -12 -1u = 0 + -12 Combine like terms: 0 + -12 = -12 -1u = -12 Divide each side by '-1'. u = 12 Simplifying u = 12Solution
u = {9, 12}
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