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

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


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

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

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

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

Combine like terms: -1u + -8u = -9u
(8 + -9u + u2) = 0

Solving
8 + -9u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -1u)(8 + -1u) = 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 + -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 = {1, 8}

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