(4u+2)(8-u)=

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Solution for (4u+2)(8-u)= equation: 


Simplifying
(4u + 2)(8 + -1u) = 0

Reorder the terms:
(2 + 4u)(8 + -1u) = 0

Multiply (2 + 4u) * (8 + -1u)
(2(8 + -1u) + 4u * (8 + -1u)) = 0
((8 * 2 + -1u * 2) + 4u * (8 + -1u)) = 0
((16 + -2u) + 4u * (8 + -1u)) = 0
(16 + -2u + (8 * 4u + -1u * 4u)) = 0
(16 + -2u + (32u + -4u2)) = 0

Combine like terms: -2u + 32u = 30u
(16 + 30u + -4u2) = 0

Solving
16 + 30u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 15u + -2u2) = 0

Factor a trinomial.
2((8 + -1u)(1 + 2u)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 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 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

Simplifying
u = 8

Subproblem 2
Set the factor '(1 + 2u)' equal to zero and attempt to solve:

Simplifying
1 + 2u = 0

Solving
1 + 2u = 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 + 2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2u = 0 + -1
2u = 0 + -1

Combine like terms: 0 + -1 = -1
2u = -1

Divide each side by '2'.
u = -0.5

Simplifying
u = -0.5
Solution
u = {8, -0.5}

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