sqrt(3x^2-2x+15)+sqrt(3x^2-2x+8)=7

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Solution for sqrt(3x^2-2x+15)+sqrt(3x^2-2x+8)=7 equation:


Simplifying
sqrt(3x2 + -2x + 15) + sqrt(3x2 + -2x + 8) = 7

Reorder the terms:
qrst(15 + -2x + 3x2) + sqrt(3x2 + -2x + 8) = 7
(15 * qrst + -2x * qrst + 3x2 * qrst) + sqrt(3x2 + -2x + 8) = 7
(15qrst + -2qrstx + 3qrstx2) + sqrt(3x2 + -2x + 8) = 7

Reorder the terms:
15qrst + -2qrstx + 3qrstx2 + qrst(8 + -2x + 3x2) = 7
15qrst + -2qrstx + 3qrstx2 + (8 * qrst + -2x * qrst + 3x2 * qrst) = 7
15qrst + -2qrstx + 3qrstx2 + (8qrst + -2qrstx + 3qrstx2) = 7

Reorder the terms:
15qrst + 8qrst + -2qrstx + -2qrstx + 3qrstx2 + 3qrstx2 = 7

Combine like terms: 15qrst + 8qrst = 23qrst
23qrst + -2qrstx + -2qrstx + 3qrstx2 + 3qrstx2 = 7

Combine like terms: -2qrstx + -2qrstx = -4qrstx
23qrst + -4qrstx + 3qrstx2 + 3qrstx2 = 7

Combine like terms: 3qrstx2 + 3qrstx2 = 6qrstx2
23qrst + -4qrstx + 6qrstx2 = 7

Solving
23qrst + -4qrstx + 6qrstx2 = 7

Solving for variable 'q'.

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

Reorder the terms:
-7 + 23qrst + -4qrstx + 6qrstx2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 23qrst + -4qrstx + 6qrstx2 = 0

The solution to this equation could not be determined.

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