(8x^2+y^2-6)-(6x^2+y^2-2)=b

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Solution for (8x^2+y^2-6)-(6x^2+y^2-2)=b equation:


Simplifying
(8x2 + y2 + -6) + -1(6x2 + y2 + -2) = b

Reorder the terms:
(-6 + 8x2 + y2) + -1(6x2 + y2 + -2) = b

Remove parenthesis around (-6 + 8x2 + y2)
-6 + 8x2 + y2 + -1(6x2 + y2 + -2) = b

Reorder the terms:
-6 + 8x2 + y2 + -1(-2 + 6x2 + y2) = b
-6 + 8x2 + y2 + (-2 * -1 + 6x2 * -1 + y2 * -1) = b
-6 + 8x2 + y2 + (2 + -6x2 + -1y2) = b

Reorder the terms:
-6 + 2 + 8x2 + -6x2 + y2 + -1y2 = b

Combine like terms: -6 + 2 = -4
-4 + 8x2 + -6x2 + y2 + -1y2 = b

Combine like terms: 8x2 + -6x2 = 2x2
-4 + 2x2 + y2 + -1y2 = b

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

Solving
-4 + 2x2 = b

Solving for variable 'x'.

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

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

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

Divide each side by '2'.
x2 = 2 + 0.5b

Simplifying
x2 = 2 + 0.5b

Reorder the terms:
-2 + -0.5b + x2 = 2 + 0.5b + -2 + -0.5b

Reorder the terms:
-2 + -0.5b + x2 = 2 + -2 + 0.5b + -0.5b

Combine like terms: 2 + -2 = 0
-2 + -0.5b + x2 = 0 + 0.5b + -0.5b
-2 + -0.5b + x2 = 0.5b + -0.5b

Combine like terms: 0.5b + -0.5b = 0.0
-2 + -0.5b + x2 = 0.0

The solution to this equation could not be determined.

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