(u^2)-18u+81=0

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Solution for (u^2)-18u+81=0 equation:


Simplifying
(u2) + -18u + 81 = 0
u2 + -18u + 81 = 0

Reorder the terms:
81 + -18u + u2 = 0

Solving
81 + -18u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -1u)(9 + -1u) = 0

Subproblem 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 = 9

Subproblem 2

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 = 9

Solution

u = {9, 9}

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