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

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


Simplifying
(4x2 + y2 + 3) + -1(x2 + y2 + -2) = 0

Reorder the terms:
(3 + 4x2 + y2) + -1(x2 + y2 + -2) = 0

Remove parenthesis around (3 + 4x2 + y2)
3 + 4x2 + y2 + -1(x2 + y2 + -2) = 0

Reorder the terms:
3 + 4x2 + y2 + -1(-2 + x2 + y2) = 0
3 + 4x2 + y2 + (-2 * -1 + x2 * -1 + y2 * -1) = 0
3 + 4x2 + y2 + (2 + -1x2 + -1y2) = 0

Reorder the terms:
3 + 2 + 4x2 + -1x2 + y2 + -1y2 = 0

Combine like terms: 3 + 2 = 5
5 + 4x2 + -1x2 + y2 + -1y2 = 0

Combine like terms: 4x2 + -1x2 = 3x2
5 + 3x2 + y2 + -1y2 = 0

Combine like terms: y2 + -1y2 = 0
5 + 3x2 + 0 = 0
5 + 3x2 = 0

Solving
5 + 3x2 = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x2 = 0 + -5
3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3x2 = -5

Divide each side by '3'.
x2 = -1.666666667

Simplifying
x2 = -1.666666667

Reorder the terms:
1.666666667 + x2 = -1.666666667 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
1.666666667 + x2 = 0.000000000

The solution to this equation could not be determined.

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