(9-u)(2u+5)=0

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Solution for (9-u)(2u+5)=0 equation:


Simplifying
(9 + -1u)(2u + 5) = 0

Reorder the terms:
(9 + -1u)(5 + 2u) = 0

Multiply (9 + -1u) * (5 + 2u)
(9(5 + 2u) + -1u * (5 + 2u)) = 0
((5 * 9 + 2u * 9) + -1u * (5 + 2u)) = 0
((45 + 18u) + -1u * (5 + 2u)) = 0
(45 + 18u + (5 * -1u + 2u * -1u)) = 0
(45 + 18u + (-5u + -2u2)) = 0

Combine like terms: 18u + -5u = 13u
(45 + 13u + -2u2) = 0

Solving
45 + 13u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -1u)(5 + 2u) = 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 '(5 + 2u)' equal to zero and attempt to solve: Simplifying 5 + 2u = 0 Solving 5 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 0 + -5 2u = 0 + -5 Combine like terms: 0 + -5 = -5 2u = -5 Divide each side by '2'. u = -2.5 Simplifying u = -2.5

Solution

u = {9, -2.5}

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