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Simplifying 2u2 + -24u + 70 + -1u2 + 14u + -49 = 0 Reorder the terms: 70 + -49 + -24u + 14u + 2u2 + -1u2 = 0 Combine like terms: 70 + -49 = 21 21 + -24u + 14u + 2u2 + -1u2 = 0 Combine like terms: -24u + 14u = -10u 21 + -10u + 2u2 + -1u2 = 0 Combine like terms: 2u2 + -1u2 = 1u2 21 + -10u + 1u2 = 0 Solving 21 + -10u + 1u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + -1u)(7 + -1u) = 0Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Subproblem 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 = {3, 7}
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