(u^2)-9u+14=0

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Solution for (u^2)-9u+14=0 equation:


Simplifying
(u2) + -9u + 14 = 0
u2 + -9u + 14 = 0

Reorder the terms:
14 + -9u + u2 = 0

Solving
14 + -9u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -1u)(7 + -1u) = 0

Subproblem 1

Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2

Subproblem 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 = 7

Solution

u = {2, 7}

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