sqr(2x-x^2+8)+sqr(2x-x^2+3)=-2x+x^2+6

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Solution for sqr(2x-x^2+8)+sqr(2x-x^2+3)=-2x+x^2+6 equation:


Simplifying
sqr(2x + -1x2 + 8) + sqr(2x + -1x2 + 3) = -2x + x2 + 6

Reorder the terms:
qrs(8 + 2x + -1x2) + sqr(2x + -1x2 + 3) = -2x + x2 + 6
(8 * qrs + 2x * qrs + -1x2 * qrs) + sqr(2x + -1x2 + 3) = -2x + x2 + 6
(8qrs + 2qrsx + -1qrsx2) + sqr(2x + -1x2 + 3) = -2x + x2 + 6

Reorder the terms:
8qrs + 2qrsx + -1qrsx2 + qrs(3 + 2x + -1x2) = -2x + x2 + 6
8qrs + 2qrsx + -1qrsx2 + (3 * qrs + 2x * qrs + -1x2 * qrs) = -2x + x2 + 6
8qrs + 2qrsx + -1qrsx2 + (3qrs + 2qrsx + -1qrsx2) = -2x + x2 + 6

Reorder the terms:
8qrs + 3qrs + 2qrsx + 2qrsx + -1qrsx2 + -1qrsx2 = -2x + x2 + 6

Combine like terms: 8qrs + 3qrs = 11qrs
11qrs + 2qrsx + 2qrsx + -1qrsx2 + -1qrsx2 = -2x + x2 + 6

Combine like terms: 2qrsx + 2qrsx = 4qrsx
11qrs + 4qrsx + -1qrsx2 + -1qrsx2 = -2x + x2 + 6

Combine like terms: -1qrsx2 + -1qrsx2 = -2qrsx2
11qrs + 4qrsx + -2qrsx2 = -2x + x2 + 6

Reorder the terms:
11qrs + 4qrsx + -2qrsx2 = 6 + -2x + x2

Solving
11qrs + 4qrsx + -2qrsx2 = 6 + -2x + x2

Solving for variable 'q'.

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

Reorder the terms:
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = 6 + -2x + x2 + -6 + 2x + -1x2

Reorder the terms:
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = 6 + -6 + -2x + 2x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = 0 + x2 + -1x2
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 11qrs + 4qrsx + -2qrsx2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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