(5u+2)(8+u)=0

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Solution for (5u+2)(8+u)=0 equation:


Simplifying
(5u + 2)(8 + u) = 0

Reorder the terms:
(2 + 5u)(8 + u) = 0

Multiply (2 + 5u) * (8 + u)
(2(8 + u) + 5u * (8 + u)) = 0
((8 * 2 + u * 2) + 5u * (8 + u)) = 0
((16 + 2u) + 5u * (8 + u)) = 0
(16 + 2u + (8 * 5u + u * 5u)) = 0
(16 + 2u + (40u + 5u2)) = 0

Combine like terms: 2u + 40u = 42u
(16 + 42u + 5u2) = 0

Solving
16 + 42u + 5u2 = 0

Solving for variable 'u'.

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

Subproblem 1

Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8

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 = {-8, -0.4}

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