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

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


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

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

Multiply (2 + -1u) * (-9 + 5u)
(2(-9 + 5u) + -1u * (-9 + 5u)) = 0
((-9 * 2 + 5u * 2) + -1u * (-9 + 5u)) = 0
((-18 + 10u) + -1u * (-9 + 5u)) = 0
(-18 + 10u + (-9 * -1u + 5u * -1u)) = 0
(-18 + 10u + (9u + -5u2)) = 0

Combine like terms: 10u + 9u = 19u
(-18 + 19u + -5u2) = 0

Solving
-18 + 19u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + u)(9 + -5u) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -5u)' equal to zero and attempt to solve: Simplifying 9 + -5u = 0 Solving 9 + -5u = 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 + -5u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5u = 0 + -9 -5u = 0 + -9 Combine like terms: 0 + -9 = -9 -5u = -9 Divide each side by '-5'. u = 1.8 Simplifying u = 1.8

Solution

u = {2, 1.8}

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