(5u+4)(9-u)=0

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Solution for (5u+4)(9-u)=0 equation:


Simplifying
(5u + 4)(9 + -1u) = 0

Reorder the terms:
(4 + 5u)(9 + -1u) = 0

Multiply (4 + 5u) * (9 + -1u)
(4(9 + -1u) + 5u * (9 + -1u)) = 0
((9 * 4 + -1u * 4) + 5u * (9 + -1u)) = 0
((36 + -4u) + 5u * (9 + -1u)) = 0
(36 + -4u + (9 * 5u + -1u * 5u)) = 0
(36 + -4u + (45u + -5u2)) = 0

Combine like terms: -4u + 45u = 41u
(36 + 41u + -5u2) = 0

Solving
36 + 41u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -1u)(4 + 5u) = 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 '(4 + 5u)' equal to zero and attempt to solve: Simplifying 4 + 5u = 0 Solving 4 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5u = 0 + -4 5u = 0 + -4 Combine like terms: 0 + -4 = -4 5u = -4 Divide each side by '5'. u = -0.8 Simplifying u = -0.8

Solution

u = {9, -0.8}

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