3x^5-12x^4+3x^3-X^2+15=n(11)

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Solution for 3x^5-12x^4+3x^3-X^2+15=n(11) equation:


Simplifying
3x5 + -12x4 + 3x3 + -1X2 + 15 = n(11)

Reorder the terms:
15 + -1X2 + 3x3 + -12x4 + 3x5 = n(11)

Reorder the terms for easier multiplication:
15 + -1X2 + 3x3 + -12x4 + 3x5 = 11n

Solving
15 + -1X2 + 3x3 + -12x4 + 3x5 = 11n

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + -1X2 + 3x3 + -12x4 + -15 + 3x5 = -15 + 11n

Reorder the terms:
15 + -15 + -1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n

Combine like terms: 15 + -15 = 0
0 + -1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n
-1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n

Add '-3x3' to each side of the equation.
-1X2 + 3x3 + -12x4 + -3x3 + 3x5 = -15 + 11n + -3x3

Reorder the terms:
-1X2 + 3x3 + -3x3 + -12x4 + 3x5 = -15 + 11n + -3x3

Combine like terms: 3x3 + -3x3 = 0
-1X2 + 0 + -12x4 + 3x5 = -15 + 11n + -3x3
-1X2 + -12x4 + 3x5 = -15 + 11n + -3x3

Add '12x4' to each side of the equation.
-1X2 + -12x4 + 12x4 + 3x5 = -15 + 11n + -3x3 + 12x4

Combine like terms: -12x4 + 12x4 = 0
-1X2 + 0 + 3x5 = -15 + 11n + -3x3 + 12x4
-1X2 + 3x5 = -15 + 11n + -3x3 + 12x4

Add '-3x5' to each side of the equation.
-1X2 + 3x5 + -3x5 = -15 + 11n + -3x3 + 12x4 + -3x5

Combine like terms: 3x5 + -3x5 = 0
-1X2 + 0 = -15 + 11n + -3x3 + 12x4 + -3x5
-1X2 = -15 + 11n + -3x3 + 12x4 + -3x5

Divide each side by '-1'.
X2 = 15 + -11n + 3x3 + -12x4 + 3x5

Simplifying
X2 = 15 + -11n + 3x3 + -12x4 + 3x5

Reorder the terms:
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 15 + -11n + 3x3 + -12x4 + 3x5 + -15 + 11n + -3x3 + 12x4 + -3x5

Reorder the terms:
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 15 + -15 + -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5

Combine like terms: 15 + -15 = 0
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5

Combine like terms: -11n + 11n = 0
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5

Combine like terms: 3x3 + -3x3 = 0
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + -12x4 + 12x4 + 3x5 + -3x5
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = -12x4 + 12x4 + 3x5 + -3x5

Combine like terms: -12x4 + 12x4 = 0
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + 3x5 + -3x5
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 3x5 + -3x5

Combine like terms: 3x5 + -3x5 = 0
-15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0

The solution to this equation could not be determined.

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