-2(u-5)(-u+2)=0

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Solution for -2(u-5)(-u+2)=0 equation: 


Simplifying
-2(u + -5)(-1u + 2) = 0

Reorder the terms:
-2(-5 + u)(-1u + 2) = 0

Reorder the terms:
-2(-5 + u)(2 + -1u) = 0

Multiply (-5 + u) * (2 + -1u)
-2(-5(2 + -1u) + u(2 + -1u)) = 0
-2((2 * -5 + -1u * -5) + u(2 + -1u)) = 0
-2((-10 + 5u) + u(2 + -1u)) = 0
-2(-10 + 5u + (2 * u + -1u * u)) = 0
-2(-10 + 5u + (2u + -1u2)) = 0

Combine like terms: 5u + 2u = 7u
-2(-10 + 7u + -1u2) = 0
(-10 * -2 + 7u * -2 + -1u2 * -2) = 0
(20 + -14u + 2u2) = 0

Solving
20 + -14u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7u + u2) = 0

Factor a trinomial.
2((2 + -1u)(5 + -1u)) = 0

Ignore the factor 2.

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 '(5 + -1u)' equal to zero and attempt to solve:

Simplifying
5 + -1u = 0

Solving
5 + -1u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
u = 5

Simplifying
u = 5
Solution
u = {2, 5}

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