(4u-9)(1-u)=0

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Solution for (4u-9)(1-u)=0 equation:


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

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

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

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

Solving
-9 + 13u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-9 + 4u)(1 + -1u) = 0

Subproblem 1

Set the factor '(-9 + 4u)' equal to zero and attempt to solve: Simplifying -9 + 4u = 0 Solving -9 + 4u = 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 + 4u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4u = 0 + 9 4u = 0 + 9 Combine like terms: 0 + 9 = 9 4u = 9 Divide each side by '4'. u = 2.25 Simplifying u = 2.25

Subproblem 2

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

Solution

u = {2.25, 1}

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