(2u+9)(2+u)=0

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


Simplifying
(2u + 9)(2 + u) = 0

Reorder the terms:
(9 + 2u)(2 + u) = 0

Multiply (9 + 2u) * (2 + u)
(9(2 + u) + 2u * (2 + u)) = 0
((2 * 9 + u * 9) + 2u * (2 + u)) = 0
((18 + 9u) + 2u * (2 + u)) = 0
(18 + 9u + (2 * 2u + u * 2u)) = 0
(18 + 9u + (4u + 2u2)) = 0

Combine like terms: 9u + 4u = 13u
(18 + 13u + 2u2) = 0

Solving
18 + 13u + 2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + 2u)(2 + u) = 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 '(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 = {-4.5, -2}

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