g(x)=2x^2+3x-5g(x+2)

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


Simplifying
g(x) = 2x2 + 3x + -5g(x + 2)

Multiply g * x
gx = 2x2 + 3x + -5g(x + 2)

Reorder the terms:
gx = 2x2 + 3x + -5g(2 + x)
gx = 2x2 + 3x + (2 * -5g + x * -5g)
gx = 2x2 + 3x + (-10g + -5gx)

Reorder the terms:
gx = -10g + -5gx + 3x + 2x2

Solving
gx = -10g + -5gx + 3x + 2x2

Solving for variable 'g'.

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

Add '10g' to each side of the equation.
10g + gx = -10g + -5gx + 3x + 10g + 2x2

Reorder the terms:
10g + gx = -10g + 10g + -5gx + 3x + 2x2

Combine like terms: -10g + 10g = 0
10g + gx = 0 + -5gx + 3x + 2x2
10g + gx = -5gx + 3x + 2x2

Add '5gx' to each side of the equation.
10g + gx + 5gx = -5gx + 3x + 5gx + 2x2

Combine like terms: gx + 5gx = 6gx
10g + 6gx = -5gx + 3x + 5gx + 2x2

Reorder the terms:
10g + 6gx = -5gx + 5gx + 3x + 2x2

Combine like terms: -5gx + 5gx = 0
10g + 6gx = 0 + 3x + 2x2
10g + 6gx = 3x + 2x2

Reorder the terms:
10g + 6gx + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
10g + 6gx + -3x + -2x2 = 0 + 2x2 + -2x2
10g + 6gx + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10g + 6gx + -3x + -2x2 = 0

The solution to this equation could not be determined.

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