3*sqrt(2+x)-6*sqrt(2-x)+4*sqrt(4-x^2)=10-3*x

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Solution for 3*sqrt(2+x)-6*sqrt(2-x)+4*sqrt(4-x^2)=10-3*x equation: 


Simplifying
3sqrt(2 + x) + -6sqrt(2 + -1x) + 4sqrt(4 + -1x2) = 10 + -3x
(2 * 3qrst + x * 3qrst) + -6sqrt(2 + -1x) + 4sqrt(4 + -1x2) = 10 + -3x
(6qrst + 3qrstx) + -6sqrt(2 + -1x) + 4sqrt(4 + -1x2) = 10 + -3x
6qrst + 3qrstx + (2 * -6qrst + -1x * -6qrst) + 4sqrt(4 + -1x2) = 10 + -3x
6qrst + 3qrstx + (-12qrst + 6qrstx) + 4sqrt(4 + -1x2) = 10 + -3x
6qrst + 3qrstx + -12qrst + 6qrstx + (4 * 4qrst + -1x2 * 4qrst) = 10 + -3x
6qrst + 3qrstx + -12qrst + 6qrstx + (16qrst + -4qrstx2) = 10 + -3x

Reorder the terms:
6qrst + -12qrst + 16qrst + 3qrstx + 6qrstx + -4qrstx2 = 10 + -3x

Combine like terms: 6qrst + -12qrst = -6qrst
-6qrst + 16qrst + 3qrstx + 6qrstx + -4qrstx2 = 10 + -3x

Combine like terms: -6qrst + 16qrst = 10qrst
10qrst + 3qrstx + 6qrstx + -4qrstx2 = 10 + -3x

Combine like terms: 3qrstx + 6qrstx = 9qrstx
10qrst + 9qrstx + -4qrstx2 = 10 + -3x

Solving
10qrst + 9qrstx + -4qrstx2 = 10 + -3x

Solving for variable 'q'.

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

Reorder the terms:
-10 + 10qrst + 9qrstx + -4qrstx2 + 3x = 10 + -3x + -10 + 3x

Reorder the terms:
-10 + 10qrst + 9qrstx + -4qrstx2 + 3x = 10 + -10 + -3x + 3x

Combine like terms: 10 + -10 = 0
-10 + 10qrst + 9qrstx + -4qrstx2 + 3x = 0 + -3x + 3x
-10 + 10qrst + 9qrstx + -4qrstx2 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 10qrst + 9qrstx + -4qrstx2 + 3x = 0

The solution to this equation could not be determined.

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