sqrt(3*x^2-8*x+1)+sqrt(9*x^2-24*x-8)=3

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Solution for sqrt(3*x^2-8*x+1)+sqrt(9*x^2-24*x-8)=3 equation:


Simplifying
sqrt(3x2 + -8x + 1) + sqrt(9x2 + -24x + -8) = 3

Reorder the terms:
qrst(1 + -8x + 3x2) + sqrt(9x2 + -24x + -8) = 3
(1 * qrst + -8x * qrst + 3x2 * qrst) + sqrt(9x2 + -24x + -8) = 3
(1qrst + -8qrstx + 3qrstx2) + sqrt(9x2 + -24x + -8) = 3

Reorder the terms:
1qrst + -8qrstx + 3qrstx2 + qrst(-8 + -24x + 9x2) = 3
1qrst + -8qrstx + 3qrstx2 + (-8 * qrst + -24x * qrst + 9x2 * qrst) = 3
1qrst + -8qrstx + 3qrstx2 + (-8qrst + -24qrstx + 9qrstx2) = 3

Reorder the terms:
1qrst + -8qrst + -8qrstx + -24qrstx + 3qrstx2 + 9qrstx2 = 3

Combine like terms: 1qrst + -8qrst = -7qrst
-7qrst + -8qrstx + -24qrstx + 3qrstx2 + 9qrstx2 = 3

Combine like terms: -8qrstx + -24qrstx = -32qrstx
-7qrst + -32qrstx + 3qrstx2 + 9qrstx2 = 3

Combine like terms: 3qrstx2 + 9qrstx2 = 12qrstx2
-7qrst + -32qrstx + 12qrstx2 = 3

Solving
-7qrst + -32qrstx + 12qrstx2 = 3

Solving for variable 'q'.

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

Reorder the terms:
-3 + -7qrst + -32qrstx + 12qrstx2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7qrst + -32qrstx + 12qrstx2 = 0

The solution to this equation could not be determined.

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