(1+u)(3u-8)=0

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Solution for (1+u)(3u-8)=0 equation: 


Simplifying
(1 + u)(3u + -8) = 0

Reorder the terms:
(1 + u)(-8 + 3u) = 0

Multiply (1 + u) * (-8 + 3u)
(1(-8 + 3u) + u(-8 + 3u)) = 0
((-8 * 1 + 3u * 1) + u(-8 + 3u)) = 0
((-8 + 3u) + u(-8 + 3u)) = 0
(-8 + 3u + (-8 * u + 3u * u)) = 0
(-8 + 3u + (-8u + 3u2)) = 0

Combine like terms: 3u + -8u = -5u
(-8 + -5u + 3u2) = 0

Solving
-8 + -5u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(8 + -3u) = 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 '(8 + -3u)' equal to zero and attempt to solve:

Simplifying
8 + -3u = 0

Solving
8 + -3u = 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 + -3u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3u = 0 + -8
-3u = 0 + -8

Combine like terms: 0 + -8 = -8
-3u = -8

Divide each side by '-3'.
u = 2.666666667

Simplifying
u = 2.666666667
Solution
u = {-1, 2.666666667}

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