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

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Solution for (4u+5)(1-u)=0 equation:


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

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

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

Combine like terms: -5u + 4u = -1u
(5 + -1u + -4u2) = 0

Solving
5 + -1u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -1u)(5 + 4u) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 4u)' equal to zero and attempt to solve: Simplifying 5 + 4u = 0 Solving 5 + 4u = 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 + 4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4u = 0 + -5 4u = 0 + -5 Combine like terms: 0 + -5 = -5 4u = -5 Divide each side by '4'. u = -1.25 Simplifying u = -1.25

Solution

u = {1, -1.25}

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