4u^2-36u+81=

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Solution for 4u^2-36u+81= equation:


Simplifying
4u2 + -36u + 81 = 0

Reorder the terms:
81 + -36u + 4u2 = 0

Solving
81 + -36u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -2u)(9 + -2u) = 0

Subproblem 1

Set the factor '(9 + -2u)' equal to zero and attempt to solve: Simplifying 9 + -2u = 0 Solving 9 + -2u = 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 + -2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = 0 + -9 -2u = 0 + -9 Combine like terms: 0 + -9 = -9 -2u = -9 Divide each side by '-2'. u = 4.5 Simplifying u = 4.5

Subproblem 2

Set the factor '(9 + -2u)' equal to zero and attempt to solve: Simplifying 9 + -2u = 0 Solving 9 + -2u = 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 + -2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = 0 + -9 -2u = 0 + -9 Combine like terms: 0 + -9 = -9 -2u = -9 Divide each side by '-2'. u = 4.5 Simplifying u = 4.5

Solution

u = {4.5, 4.5}

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