(2x^2-4y-1)-(3x^2-3)=0

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Solution for (2x^2-4y-1)-(3x^2-3)=0 equation:


Simplifying
(2x2 + -4y + -1) + -1(3x2 + -3) = 0

Reorder the terms:
(-1 + 2x2 + -4y) + -1(3x2 + -3) = 0

Remove parenthesis around (-1 + 2x2 + -4y)
-1 + 2x2 + -4y + -1(3x2 + -3) = 0

Reorder the terms:
-1 + 2x2 + -4y + -1(-3 + 3x2) = 0
-1 + 2x2 + -4y + (-3 * -1 + 3x2 * -1) = 0
-1 + 2x2 + -4y + (3 + -3x2) = 0

Reorder the terms:
-1 + 3 + 2x2 + -3x2 + -4y = 0

Combine like terms: -1 + 3 = 2
2 + 2x2 + -3x2 + -4y = 0

Combine like terms: 2x2 + -3x2 = -1x2
2 + -1x2 + -4y = 0

Solving
2 + -1x2 + -4y = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -1x2 + -2 + -4y = 0 + -2

Reorder the terms:
2 + -2 + -1x2 + -4y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 + -4y = 0 + -2
-1x2 + -4y = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 + -4y = -2

Add '4y' to each side of the equation.
-1x2 + -4y + 4y = -2 + 4y

Combine like terms: -4y + 4y = 0
-1x2 + 0 = -2 + 4y
-1x2 = -2 + 4y

Divide each side by '-1'.
x2 = 2 + -4y

Simplifying
x2 = 2 + -4y

Reorder the terms:
-2 + x2 + 4y = 2 + -4y + -2 + 4y

Reorder the terms:
-2 + x2 + 4y = 2 + -2 + -4y + 4y

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

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

The solution to this equation could not be determined.

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