g(5a-2)+3g(2a)ifg(x)=x^2-5x+8

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Solution for g(5a-2)+3g(2a)ifg(x)=x^2-5x+8 equation: 


Simplifying
g(5a + -2) + 3g(2a) * ifg(x) = x2 + -5x + 8

Reorder the terms:
g(-2 + 5a) + 3g(2a) * ifg(x) = x2 + -5x + 8
(-2 * g + 5a * g) + 3g(2a) * ifg(x) = x2 + -5x + 8

Reorder the terms:
(5ag + -2g) + 3g(2a) * ifg(x) = x2 + -5x + 8
(5ag + -2g) + 3g(2a) * ifg(x) = x2 + -5x + 8

Remove parenthesis around (2a)
5ag + -2g + 3g * 2a * ifg(x) = x2 + -5x + 8

Reorder the terms for easier multiplication:
5ag + -2g + 3 * 2g * a * fgi * x = x2 + -5x + 8

Multiply 3 * 2
5ag + -2g + 6g * a * fgi * x = x2 + -5x + 8

Multiply g * a
5ag + -2g + 6ag * fgi * x = x2 + -5x + 8

Multiply ag * fgi
5ag + -2g + 6afg2i * x = x2 + -5x + 8

Multiply afg2i * x
5ag + -2g + 6afg2ix = x2 + -5x + 8

Reorder the terms:
6afg2ix + 5ag + -2g = x2 + -5x + 8

Reorder the terms:
6afg2ix + 5ag + -2g = 8 + -5x + x2

Solving
6afg2ix + 5ag + -2g = 8 + -5x + x2

Solving for variable 'a'.

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

Add '2g' to each side of the equation.
6afg2ix + 5ag + -2g + 2g = 8 + -5x + 2g + x2

Combine like terms: -2g + 2g = 0
6afg2ix + 5ag + 0 = 8 + -5x + 2g + x2
6afg2ix + 5ag = 8 + -5x + 2g + x2

Reorder the terms:
6afg2ix + 5ag = 8 + 2g + -5x + x2

Reorder the terms:
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 8 + 2g + -5x + x2 + -8 + -2g + 5x + -1x2

Reorder the terms:
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 8 + -8 + 2g + -2g + -5x + 5x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 0 + 2g + -2g + -5x + 5x + x2 + -1x2
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 2g + -2g + -5x + 5x + x2 + -1x2

Combine like terms: 2g + -2g = 0
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 0 + x2 + -1x2
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 6afg2ix + 5ag + -2g + 5x + -1x2 = 0

The solution to this equation could not be determined.

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