(x-2)x(n+3)=180

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Solution for (x-2)x(n+3)=180 equation: 


Simplifying
(x + -2) * x(n + 3) = 180

Reorder the terms:
(-2 + x) * x(n + 3) = 180

Reorder the terms:
(-2 + x) * x(3 + n) = 180

Reorder the terms for easier multiplication:
x(-2 + x)(3 + n) = 180

Multiply (-2 + x) * (3 + n)
x(-2(3 + n) + x(3 + n)) = 180
x((3 * -2 + n * -2) + x(3 + n)) = 180
x((-6 + -2n) + x(3 + n)) = 180
x(-6 + -2n + (3 * x + n * x)) = 180

Reorder the terms:
x(-6 + -2n + (nx + 3x)) = 180
x(-6 + -2n + (nx + 3x)) = 180
x(-6 + -2n + nx + 3x) = 180
(-6 * x + -2n * x + nx * x + 3x * x) = 180

Reorder the terms:
(-2nx + nx2 + -6x + 3x2) = 180
(-2nx + nx2 + -6x + 3x2) = 180

Solving
-2nx + nx2 + -6x + 3x2 = 180

Solving for variable 'n'.

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

Add '6x' to each side of the equation.
-2nx + nx2 + -6x + 6x + 3x2 = 180 + 6x

Combine like terms: -6x + 6x = 0
-2nx + nx2 + 0 + 3x2 = 180 + 6x
-2nx + nx2 + 3x2 = 180 + 6x

Add '-3x2' to each side of the equation.
-2nx + nx2 + 3x2 + -3x2 = 180 + 6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2nx + nx2 + 0 = 180 + 6x + -3x2
-2nx + nx2 = 180 + 6x + -3x2

Reorder the terms:
-180 + -2nx + nx2 + -6x + 3x2 = 180 + 6x + -3x2 + -180 + -6x + 3x2

Reorder the terms:
-180 + -2nx + nx2 + -6x + 3x2 = 180 + -180 + 6x + -6x + -3x2 + 3x2

Combine like terms: 180 + -180 = 0
-180 + -2nx + nx2 + -6x + 3x2 = 0 + 6x + -6x + -3x2 + 3x2
-180 + -2nx + nx2 + -6x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
-180 + -2nx + nx2 + -6x + 3x2 = 0 + -3x2 + 3x2
-180 + -2nx + nx2 + -6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-180 + -2nx + nx2 + -6x + 3x2 = 0

The solution to this equation could not be determined.

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