-2(u-3)(-u+9)=0

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Solution for -2(u-3)(-u+9)=0 equation: 


Simplifying
-2(u + -3)(-1u + 9) = 0

Reorder the terms:
-2(-3 + u)(-1u + 9) = 0

Reorder the terms:
-2(-3 + u)(9 + -1u) = 0

Multiply (-3 + u) * (9 + -1u)
-2(-3(9 + -1u) + u(9 + -1u)) = 0
-2((9 * -3 + -1u * -3) + u(9 + -1u)) = 0
-2((-27 + 3u) + u(9 + -1u)) = 0
-2(-27 + 3u + (9 * u + -1u * u)) = 0
-2(-27 + 3u + (9u + -1u2)) = 0

Combine like terms: 3u + 9u = 12u
-2(-27 + 12u + -1u2) = 0
(-27 * -2 + 12u * -2 + -1u2 * -2) = 0
(54 + -24u + 2u2) = 0

Solving
54 + -24u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + -12u + u2) = 0

Factor a trinomial.
2((3 + -1u)(9 + -1u)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3

Subproblem 2
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Solution
u = {3, 9}

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