(u-8)(u-2)=0

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Solution for (u-8)(u-2)=0 equation: 


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

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

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

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

Combine like terms: -8u + -2u = -10u
(16 + -10u + u2) = 0

Solving
16 + -10u + u2 = 0

Solving for variable 'u'.

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


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

Simplifying
2 + -1u = 0

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

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

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

Divide each side by '-1'.
u = 2

Simplifying
u = 2

Subproblem 2
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
Solution
u = {2, 8}

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