2x=4y^2-(6y^2+9+x)+3x

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Solution for 2x=4y^2-(6y^2+9+x)+3x equation:


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

Reorder the terms:
2x = 4y2 + -1(9 + x + 6y2) + 3x
2x = 4y2 + (9 * -1 + x * -1 + 6y2 * -1) + 3x
2x = 4y2 + (-9 + -1x + -6y2) + 3x

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

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

Combine like terms: 4y2 + -6y2 = -2y2
2x = -9 + 2x + -2y2

Add '-2x' to each side of the equation.
2x + -2x = -9 + 2x + -2x + -2y2

Combine like terms: 2x + -2x = 0
0 = -9 + 2x + -2x + -2y2

Combine like terms: 2x + -2x = 0
0 = -9 + 0 + -2y2
0 = -9 + -2y2

Solving
0 = -9 + -2y2

Solving for variable 'y'.

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

Add '2y2' to each side of the equation.
0 + 2y2 = -9 + -2y2 + 2y2
Remove the zero:
2y2 = -9 + -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
2y2 = -9 + 0
2y2 = -9

Divide each side by '2'.
y2 = -4.5

Simplifying
y2 = -4.5

Reorder the terms:
4.5 + y2 = -4.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
4.5 + y2 = 0.0

The solution to this equation could not be determined.

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