(2-3x)*g(x)=15x^2-22x+8

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Solution for (2-3x)*g(x)=15x^2-22x+8 equation: 


Simplifying
(2 + -3x) * g(x) = 15x2 + -22x + 8

Reorder the terms for easier multiplication:
g * x(2 + -3x) = 15x2 + -22x + 8

Multiply g * x
gx(2 + -3x) = 15x2 + -22x + 8
(2 * gx + -3x * gx) = 15x2 + -22x + 8
(2gx + -3gx2) = 15x2 + -22x + 8

Reorder the terms:
2gx + -3gx2 = 8 + -22x + 15x2

Solving
2gx + -3gx2 = 8 + -22x + 15x2

Solving for variable 'g'.

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

Reorder the terms:
-8 + 2gx + -3gx2 + 22x + -15x2 = 8 + -22x + 15x2 + -8 + 22x + -15x2

Reorder the terms:
-8 + 2gx + -3gx2 + 22x + -15x2 = 8 + -8 + -22x + 22x + 15x2 + -15x2

Combine like terms: 8 + -8 = 0
-8 + 2gx + -3gx2 + 22x + -15x2 = 0 + -22x + 22x + 15x2 + -15x2
-8 + 2gx + -3gx2 + 22x + -15x2 = -22x + 22x + 15x2 + -15x2

Combine like terms: -22x + 22x = 0
-8 + 2gx + -3gx2 + 22x + -15x2 = 0 + 15x2 + -15x2
-8 + 2gx + -3gx2 + 22x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-8 + 2gx + -3gx2 + 22x + -15x2 = 0

The solution to this equation could not be determined.

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