-u^2+16u+36=0

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Solution for -u^2+16u+36=0 equation:


Simplifying
-1u2 + 16u + 36 = 0

Reorder the terms:
36 + 16u + -1u2 = 0

Solving
36 + 16u + -1u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(18 + -1u)(2 + u) = 0

Subproblem 1

Set the factor '(18 + -1u)' equal to zero and attempt to solve: Simplifying 18 + -1u = 0 Solving 18 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1u = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1u = 0 + -18 -1u = 0 + -18 Combine like terms: 0 + -18 = -18 -1u = -18 Divide each side by '-1'. u = 18 Simplifying u = 18

Subproblem 2

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

Solution

u = {18, -2}

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