Gx=3x^3-5x^2-8x+12-(ax-b)

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Solution for Gx=3x^3-5x^2-8x+12-(ax-b) equation: 


Simplifying
Gx = 3x3 + -5x2 + -8x + 12 + -1(ax + -1b)
xG = 3x3 + -5x2 + -8x + 12 + (ax * -1 + -1b * -1)
xG = 3x3 + -5x2 + -8x + 12 + (-1ax + 1b)

Reorder the terms:
xG = 12 + -1ax + 1b + -8x + -5x2 + 3x3

Solving
xG = 12 + -1ax + 1b + -8x + -5x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 12 + -1ax + 1b + -8x + -5x2 + 3x3 + -12 + ax + -1b + 8x + 5x2 + -3x3

Reorder the terms:
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 12 + -12 + -1ax + ax + 1b + -1b + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3

Combine like terms: 12 + -12 = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0 + -1ax + ax + 1b + -1b + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = -1ax + ax + 1b + -1b + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3

Combine like terms: -1ax + ax = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0 + 1b + -1b + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 1b + -1b + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3

Combine like terms: 1b + -1b = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0 + -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3

Combine like terms: -8x + 8x = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0 + -5x2 + 5x2 + 3x3 + -3x3
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = -5x2 + 5x2 + 3x3 + -3x3

Combine like terms: -5x2 + 5x2 = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0 + 3x3 + -3x3
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-12 + ax + -1b + 8x + xG + 5x2 + -3x3 = 0

The solution to this equation could not be determined.

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