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

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


Simplifying
(2 + -1u)(2u + 9) = 0

Reorder the terms:
(2 + -1u)(9 + 2u) = 0

Multiply (2 + -1u) * (9 + 2u)
(2(9 + 2u) + -1u * (9 + 2u)) = 0
((9 * 2 + 2u * 2) + -1u * (9 + 2u)) = 0
((18 + 4u) + -1u * (9 + 2u)) = 0
(18 + 4u + (9 * -1u + 2u * -1u)) = 0
(18 + 4u + (-9u + -2u2)) = 0

Combine like terms: 4u + -9u = -5u
(18 + -5u + -2u2) = 0

Solving
18 + -5u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -1u)(9 + 2u) = 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 '(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 = {2, -4.5}

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