14x^2-2g^2+x+-16-3x^2+9y^2-5x-7=

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Solution for 14x^2-2g^2+x+-16-3x^2+9y^2-5x-7= equation:


Simplifying
14x2 + -2g2 + x + -16 + -3x2 + 9y2 + -5x + -7 = 0

Reorder the terms:
-16 + -7 + -2g2 + x + -5x + 14x2 + -3x2 + 9y2 = 0

Combine like terms: -16 + -7 = -23
-23 + -2g2 + x + -5x + 14x2 + -3x2 + 9y2 = 0

Combine like terms: x + -5x = -4x
-23 + -2g2 + -4x + 14x2 + -3x2 + 9y2 = 0

Combine like terms: 14x2 + -3x2 = 11x2
-23 + -2g2 + -4x + 11x2 + 9y2 = 0

Solving
-23 + -2g2 + -4x + 11x2 + 9y2 = 0

Solving for variable 'g'.

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

Add '23' to each side of the equation.
-23 + -2g2 + -4x + 11x2 + 23 + 9y2 = 0 + 23

Reorder the terms:
-23 + 23 + -2g2 + -4x + 11x2 + 9y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2g2 + -4x + 11x2 + 9y2 = 0 + 23
-2g2 + -4x + 11x2 + 9y2 = 0 + 23

Combine like terms: 0 + 23 = 23
-2g2 + -4x + 11x2 + 9y2 = 23

Add '4x' to each side of the equation.
-2g2 + -4x + 11x2 + 4x + 9y2 = 23 + 4x

Reorder the terms:
-2g2 + -4x + 4x + 11x2 + 9y2 = 23 + 4x

Combine like terms: -4x + 4x = 0
-2g2 + 0 + 11x2 + 9y2 = 23 + 4x
-2g2 + 11x2 + 9y2 = 23 + 4x

Add '-11x2' to each side of the equation.
-2g2 + 11x2 + -11x2 + 9y2 = 23 + 4x + -11x2

Combine like terms: 11x2 + -11x2 = 0
-2g2 + 0 + 9y2 = 23 + 4x + -11x2
-2g2 + 9y2 = 23 + 4x + -11x2

Add '-9y2' to each side of the equation.
-2g2 + 9y2 + -9y2 = 23 + 4x + -11x2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-2g2 + 0 = 23 + 4x + -11x2 + -9y2
-2g2 = 23 + 4x + -11x2 + -9y2

Divide each side by '-2'.
g2 = -11.5 + -2x + 5.5x2 + 4.5y2

Simplifying
g2 = -11.5 + -2x + 5.5x2 + 4.5y2

Reorder the terms:
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = -11.5 + -2x + 5.5x2 + 4.5y2 + 11.5 + 2x + -5.5x2 + -4.5y2

Reorder the terms:
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = -11.5 + 11.5 + -2x + 2x + 5.5x2 + -5.5x2 + 4.5y2 + -4.5y2

Combine like terms: -11.5 + 11.5 = 0.0
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 0.0 + -2x + 2x + 5.5x2 + -5.5x2 + 4.5y2 + -4.5y2
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = -2x + 2x + 5.5x2 + -5.5x2 + 4.5y2 + -4.5y2

Combine like terms: -2x + 2x = 0
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 0 + 5.5x2 + -5.5x2 + 4.5y2 + -4.5y2
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 5.5x2 + -5.5x2 + 4.5y2 + -4.5y2

Combine like terms: 5.5x2 + -5.5x2 = 0.0
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 0.0 + 4.5y2 + -4.5y2
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 4.5y2 + -4.5y2

Combine like terms: 4.5y2 + -4.5y2 = 0.0
11.5 + g2 + 2x + -5.5x2 + -4.5y2 = 0.0

The solution to this equation could not be determined.

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