(5u+8)(1+u)=0

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Solution for (5u+8)(1+u)=0 equation:


Simplifying
(5u + 8)(1 + u) = 0

Reorder the terms:
(8 + 5u)(1 + u) = 0

Multiply (8 + 5u) * (1 + u)
(8(1 + u) + 5u * (1 + u)) = 0
((1 * 8 + u * 8) + 5u * (1 + u)) = 0
((8 + 8u) + 5u * (1 + u)) = 0
(8 + 8u + (1 * 5u + u * 5u)) = 0
(8 + 8u + (5u + 5u2)) = 0

Combine like terms: 8u + 5u = 13u
(8 + 13u + 5u2) = 0

Solving
8 + 13u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + 5u)(1 + u) = 0

Subproblem 1

Set the factor '(8 + 5u)' equal to zero and attempt to solve: Simplifying 8 + 5u = 0 Solving 8 + 5u = 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 + 5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5u = 0 + -8 5u = 0 + -8 Combine like terms: 0 + -8 = -8 5u = -8 Divide each side by '5'. u = -1.6 Simplifying u = -1.6

Subproblem 2

Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1

Solution

u = {-1.6, -1}

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