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

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Solution for 3(u-2)(-u+8)=0 equation: 


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

Reorder the terms:
3(-2 + u)(-1u + 8) = 0

Reorder the terms:
3(-2 + u)(8 + -1u) = 0

Multiply (-2 + u) * (8 + -1u)
3(-2(8 + -1u) + u(8 + -1u)) = 0
3((8 * -2 + -1u * -2) + u(8 + -1u)) = 0
3((-16 + 2u) + u(8 + -1u)) = 0
3(-16 + 2u + (8 * u + -1u * u)) = 0
3(-16 + 2u + (8u + -1u2)) = 0

Combine like terms: 2u + 8u = 10u
3(-16 + 10u + -1u2) = 0
(-16 * 3 + 10u * 3 + -1u2 * 3) = 0
(-48 + 30u + -3u2) = 0

Solving
-48 + 30u + -3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 10u + -1u2) = 0

Factor a trinomial.
3((-8 + u)(2 + -1u)) = 0

Ignore the factor 3.

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

Simplifying
-8 + u = 0

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

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

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

Simplifying
u = 8

Subproblem 2
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
Solution
u = {8, 2}

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