0=X^8+x^7-2x^6-3x^5-17x^4-16x^3+32x^2+48x+16

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Solution for 0=X^8+x^7-2x^6-3x^5-17x^4-16x^3+32x^2+48x+16 equation: 


Simplifying
0 = X8 + x7 + -2x6 + -3x5 + -17x4 + -16x3 + 32x2 + 48x + 16

Reorder the terms:
0 = 16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7

Solving
0 = 16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7

Solving for variable 'X'.

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

Add '-1X8' to each side of the equation.
0 + -1X8 = 16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + -1X8 + x7
Remove the zero:
-1X8 = 16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + -1X8 + x7

Reorder the terms:
-1X8 = 16 + X8 + -1X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7

Combine like terms: X8 + -1X8 = 0
-1X8 = 16 + 0 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7
-1X8 = 16 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7

Divide each side by '-1'.
X8 = -16 + -48x + -32x2 + 16x3 + 17x4 + 3x5 + 2x6 + -1x7

Simplifying
X8 = -16 + -48x + -32x2 + 16x3 + 17x4 + 3x5 + 2x6 + -1x7

Reorder the terms:
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = -16 + -48x + -32x2 + 16x3 + 17x4 + 3x5 + 2x6 + -1x7 + 16 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7

Reorder the terms:
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = -16 + 16 + -48x + 48x + -32x2 + 32x2 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: -16 + 16 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + -48x + 48x + -32x2 + 32x2 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = -48x + 48x + -32x2 + 32x2 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: -48x + 48x = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + -32x2 + 32x2 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = -32x2 + 32x2 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: -32x2 + 32x2 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 16x3 + -16x3 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: 16x3 + -16x3 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 17x4 + -17x4 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: 17x4 + -17x4 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 3x5 + -3x5 + 2x6 + -2x6 + -1x7 + x7

Combine like terms: 3x5 + -3x5 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + 2x6 + -2x6 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 2x6 + -2x6 + -1x7 + x7

Combine like terms: 2x6 + -2x6 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0 + -1x7 + x7
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = -1x7 + x7

Combine like terms: -1x7 + x7 = 0
16 + X8 + 48x + 32x2 + -16x3 + -17x4 + -3x5 + -2x6 + x7 = 0

The solution to this equation could not be determined.

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