(3x-u)(3x+2u)=

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


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

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

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

Multiply (-1u + 3x) * (2u + 3x)
(-1u * (2u + 3x) + 3x * (2u + 3x)) = 0
((2u * -1u + 3x * -1u) + 3x * (2u + 3x)) = 0

Reorder the terms:
((-3ux + -2u2) + 3x * (2u + 3x)) = 0
((-3ux + -2u2) + 3x * (2u + 3x)) = 0
(-3ux + -2u2 + (2u * 3x + 3x * 3x)) = 0
(-3ux + -2u2 + (6ux + 9x2)) = 0

Reorder the terms:
(-3ux + 6ux + -2u2 + 9x2) = 0

Combine like terms: -3ux + 6ux = 3ux
(3ux + -2u2 + 9x2) = 0

Solving
3ux + -2u2 + 9x2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(-2u + -3x)' equal to zero and attempt to solve:

Simplifying
-2u + -3x = 0

Solving
-2u + -3x = 0

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

Add '3x' to each side of the equation.
-2u + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-2u + 0 = 0 + 3x
-2u = 0 + 3x
Remove the zero:
-2u = 3x

Divide each side by '-2'.
u = -1.5x

Simplifying
u = -1.5x

Subproblem 2
Set the factor '(u + -3x)' equal to zero and attempt to solve:

Simplifying
u + -3x = 0

Solving
u + -3x = 0

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

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

Combine like terms: -3x + 3x = 0
u + 0 = 0 + 3x
u = 0 + 3x
Remove the zero:
u = 3x

Simplifying
u = 3x
Solution
u = {-1.5x, 3x}

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