(x-nu)*(9x+3nu)=

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Solution for (x-nu)*(9x+3nu)= equation: 


Simplifying
(x + -1nu)(9x + 3nu) = 0

Reorder the terms:
(-1nu + x)(9x + 3nu) = 0

Reorder the terms:
(-1nu + x)(3nu + 9x) = 0

Multiply (-1nu + x) * (3nu + 9x)
(-1nu * (3nu + 9x) + x(3nu + 9x)) = 0
((3nu * -1nu + 9x * -1nu) + x(3nu + 9x)) = 0

Reorder the terms:
((-9nux + -3n2u2) + x(3nu + 9x)) = 0
((-9nux + -3n2u2) + x(3nu + 9x)) = 0
(-9nux + -3n2u2 + (3nu * x + 9x * x)) = 0
(-9nux + -3n2u2 + (3nux + 9x2)) = 0

Reorder the terms:
(-9nux + 3nux + -3n2u2 + 9x2) = 0

Combine like terms: -9nux + 3nux = -6nux
(-6nux + -3n2u2 + 9x2) = 0

Solving
-6nux + -3n2u2 + 9x2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2nux + -1n2u2 + 3x2) = 0

Factor a trinomial.
3((-1nu + -3x)(nu + -1x)) = 0

Ignore the factor 3.

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

Simplifying
-1nu + -3x = 0

Solving
-1nu + -3x = 0

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

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

Combine like terms: -3x + 3x = 0
-1nu + 0 = 0 + 3x
-1nu = 0 + 3x
Remove the zero:
-1nu = 3x

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

Simplifying
n = -3u-1x

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

Simplifying
nu + -1x = 0

Solving
nu + -1x = 0

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

Add 'x' to each side of the equation.
nu + -1x + x = 0 + x

Combine like terms: -1x + x = 0
nu + 0 = 0 + x
nu = 0 + x
Remove the zero:
nu = x

Divide each side by 'u'.
n = u-1x

Simplifying
n = u-1x
Solution
n = {-3u-1x, u-1x}

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