(4+u)(5u+2)=0

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Solution for (4+u)(5u+2)=0 equation:


Simplifying
(4 + u)(5u + 2) = 0

Reorder the terms:
(4 + u)(2 + 5u) = 0

Multiply (4 + u) * (2 + 5u)
(4(2 + 5u) + u(2 + 5u)) = 0
((2 * 4 + 5u * 4) + u(2 + 5u)) = 0
((8 + 20u) + u(2 + 5u)) = 0
(8 + 20u + (2 * u + 5u * u)) = 0
(8 + 20u + (2u + 5u2)) = 0

Combine like terms: 20u + 2u = 22u
(8 + 22u + 5u2) = 0

Solving
8 + 22u + 5u2 = 0

Solving for variable 'u'.

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

Subproblem 1

Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4

Subproblem 2

Set the factor '(2 + 5u)' equal to zero and attempt to solve: Simplifying 2 + 5u = 0 Solving 2 + 5u = 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 + 5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5u = 0 + -2 5u = 0 + -2 Combine like terms: 0 + -2 = -2 5u = -2 Divide each side by '5'. u = -0.4 Simplifying u = -0.4

Solution

u = {-4, -0.4}

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