2x+4y^2-6y^2-9+1-x+3x=0

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Solution for 2x+4y^2-6y^2-9+1-x+3x=0 equation:


Simplifying
2x + 4y2 + -6y2 + -9 + 1 + -1x + 3x = 0

Reorder the terms:
-9 + 1 + 2x + -1x + 3x + 4y2 + -6y2 = 0

Combine like terms: -9 + 1 = -8
-8 + 2x + -1x + 3x + 4y2 + -6y2 = 0

Combine like terms: 2x + -1x = 1x
-8 + 1x + 3x + 4y2 + -6y2 = 0

Combine like terms: 1x + 3x = 4x
-8 + 4x + 4y2 + -6y2 = 0

Combine like terms: 4y2 + -6y2 = -2y2
-8 + 4x + -2y2 = 0

Solving
-8 + 4x + -2y2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 4x + 8 + -2y2 = 0 + 8

Reorder the terms:
-8 + 8 + 4x + -2y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4x + -2y2 = 0 + 8
4x + -2y2 = 0 + 8

Combine like terms: 0 + 8 = 8
4x + -2y2 = 8

Add '2y2' to each side of the equation.
4x + -2y2 + 2y2 = 8 + 2y2

Combine like terms: -2y2 + 2y2 = 0
4x + 0 = 8 + 2y2
4x = 8 + 2y2

Divide each side by '4'.
x = 2 + 0.5y2

Simplifying
x = 2 + 0.5y2

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