sqrt(3x^2-5x+8)-sqrt(3x^2+5x-1)=1

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Solution for sqrt(3x^2-5x+8)-sqrt(3x^2+5x-1)=1 equation:


Simplifying
sqrt(3x2 + -5x + 8) + -1sqrt(3x2 + 5x + -1) = 1

Reorder the terms:
qrst(8 + -5x + 3x2) + -1sqrt(3x2 + 5x + -1) = 1
(8 * qrst + -5x * qrst + 3x2 * qrst) + -1sqrt(3x2 + 5x + -1) = 1
(8qrst + -5qrstx + 3qrstx2) + -1sqrt(3x2 + 5x + -1) = 1

Reorder the terms:
8qrst + -5qrstx + 3qrstx2 + -1qrst(-1 + 5x + 3x2) = 1
8qrst + -5qrstx + 3qrstx2 + (-1 * -1qrst + 5x * -1qrst + 3x2 * -1qrst) = 1
8qrst + -5qrstx + 3qrstx2 + (1qrst + -5qrstx + -3qrstx2) = 1

Reorder the terms:
8qrst + 1qrst + -5qrstx + -5qrstx + 3qrstx2 + -3qrstx2 = 1

Combine like terms: 8qrst + 1qrst = 9qrst
9qrst + -5qrstx + -5qrstx + 3qrstx2 + -3qrstx2 = 1

Combine like terms: -5qrstx + -5qrstx = -10qrstx
9qrst + -10qrstx + 3qrstx2 + -3qrstx2 = 1

Combine like terms: 3qrstx2 + -3qrstx2 = 0
9qrst + -10qrstx + 0 = 1
9qrst + -10qrstx = 1

Solving
9qrst + -10qrstx = 1

Solving for variable 'q'.

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

Reorder the terms:
-1 + 9qrst + -10qrstx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 9qrst + -10qrstx = 0

The solution to this equation could not be determined.

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