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

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


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

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

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

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

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

Multiply 3 * 2
5adginF + -2dginF + 6g * a * fgi * x = x2 + -5x + 3

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

Multiply ag * fgi
5adginF + -2dginF + 6afg2i * x = x2 + -5x + 3

Multiply afg2i * x
5adginF + -2dginF + 6afg2ix = x2 + -5x + 3

Reorder the terms:
5adginF + 6afg2ix + -2dginF = x2 + -5x + 3

Reorder the terms:
5adginF + 6afg2ix + -2dginF = 3 + -5x + x2

Solving
5adginF + 6afg2ix + -2dginF = 3 + -5x + x2

Solving for variable 'a'.

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

Add '2dginF' to each side of the equation.
5adginF + 6afg2ix + -2dginF + 2dginF = 3 + -5x + 2dginF + x2

Combine like terms: -2dginF + 2dginF = 0
5adginF + 6afg2ix + 0 = 3 + -5x + 2dginF + x2
5adginF + 6afg2ix = 3 + -5x + 2dginF + x2

Reorder the terms:
5adginF + 6afg2ix = 3 + 2dginF + -5x + x2

Reorder the terms:
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 3 + 2dginF + -5x + x2 + -3 + -2dginF + 5x + -1x2

Reorder the terms:
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 3 + -3 + 2dginF + -2dginF + -5x + 5x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + 2dginF + -2dginF + -5x + 5x + x2 + -1x2
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 2dginF + -2dginF + -5x + 5x + x2 + -1x2

Combine like terms: 2dginF + -2dginF = 0
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + x2 + -1x2
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0

The solution to this equation could not be determined.

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