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

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


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

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

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

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

Combine like terms: -2u + 8u = 6u
(-16 + 6u + u2) = 0

Solving
-16 + 6u + u2 = 0

Solving for variable 'u'.

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


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 '(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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