(u-4)(u-8)=0

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Solution for (u-4)(u-8)=0 equation: 


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

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

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

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

Combine like terms: -4u + -8u = -12u
(32 + -12u + u2) = 0

Solving
32 + -12u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -1u)(8 + -1u) = 0


Subproblem 1
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4

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 = {4, 8}

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