sqrt(4x^2+6)-sqrt(8x+7)=8x^3+40x^2-8x-29

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Solution for sqrt(4x^2+6)-sqrt(8x+7)=8x^3+40x^2-8x-29 equation: 


Simplifying
sqrt(4x2 + 6) + -1sqrt(8x + 7) = 8x3 + 40x2 + -8x + -29

Reorder the terms:
qrst(6 + 4x2) + -1sqrt(8x + 7) = 8x3 + 40x2 + -8x + -29
(6 * qrst + 4x2 * qrst) + -1sqrt(8x + 7) = 8x3 + 40x2 + -8x + -29
(6qrst + 4qrstx2) + -1sqrt(8x + 7) = 8x3 + 40x2 + -8x + -29

Reorder the terms:
6qrst + 4qrstx2 + -1qrst(7 + 8x) = 8x3 + 40x2 + -8x + -29
6qrst + 4qrstx2 + (7 * -1qrst + 8x * -1qrst) = 8x3 + 40x2 + -8x + -29
6qrst + 4qrstx2 + (-7qrst + -8qrstx) = 8x3 + 40x2 + -8x + -29

Reorder the terms:
6qrst + -7qrst + -8qrstx + 4qrstx2 = 8x3 + 40x2 + -8x + -29

Combine like terms: 6qrst + -7qrst = -1qrst
-1qrst + -8qrstx + 4qrstx2 = 8x3 + 40x2 + -8x + -29

Reorder the terms:
-1qrst + -8qrstx + 4qrstx2 = -29 + -8x + 40x2 + 8x3

Solving
-1qrst + -8qrstx + 4qrstx2 = -29 + -8x + 40x2 + 8x3

Solving for variable 'q'.

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

Reorder the terms:
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = -29 + -8x + 40x2 + 8x3 + 29 + 8x + -40x2 + -8x3

Reorder the terms:
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = -29 + 29 + -8x + 8x + 40x2 + -40x2 + 8x3 + -8x3

Combine like terms: -29 + 29 = 0
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 0 + -8x + 8x + 40x2 + -40x2 + 8x3 + -8x3
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = -8x + 8x + 40x2 + -40x2 + 8x3 + -8x3

Combine like terms: -8x + 8x = 0
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 0 + 40x2 + -40x2 + 8x3 + -8x3
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 40x2 + -40x2 + 8x3 + -8x3

Combine like terms: 40x2 + -40x2 = 0
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 0 + 8x3 + -8x3
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
29 + -1qrst + -8qrstx + 4qrstx2 + 8x + -40x2 + -8x3 = 0

The solution to this equation could not be determined.

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