4x^2-3y=2x^2-4y^2

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Solution for 4x^2-3y=2x^2-4y^2 equation:


Simplifying
4x2 + -3y = 2x2 + -4y2

Solving
4x2 + -3y = 2x2 + -4y2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
4x2 + -2x2 + -3y = 2x2 + -2x2 + -4y2

Combine like terms: 4x2 + -2x2 = 2x2
2x2 + -3y = 2x2 + -2x2 + -4y2

Combine like terms: 2x2 + -2x2 = 0
2x2 + -3y = 0 + -4y2
2x2 + -3y = -4y2

Add '3y' to each side of the equation.
2x2 + -3y + 3y = 3y + -4y2

Combine like terms: -3y + 3y = 0
2x2 + 0 = 3y + -4y2
2x2 = 3y + -4y2

Divide each side by '2'.
x2 = 1.5y + -2y2

Simplifying
x2 = 1.5y + -2y2

Reorder the terms:
x2 + -1.5y + 2y2 = 1.5y + -1.5y + -2y2 + 2y2

Combine like terms: 1.5y + -1.5y = 0.0
x2 + -1.5y + 2y2 = 0.0 + -2y2 + 2y2
x2 + -1.5y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
x2 + -1.5y + 2y2 = 0

The solution to this equation could not be determined.

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