(x-3)sqrt(2x^2-14x+13)=8x-x^2-15

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Solution for (x-3)sqrt(2x^2-14x+13)=8x-x^2-15 equation: 


Simplifying
(x + -3) * sqrt(2x2 + -14x + 13) = 8x + -1x2 + -15

Reorder the terms:
(-3 + x) * sqrt(2x2 + -14x + 13) = 8x + -1x2 + -15

Reorder the terms:
(-3 + x) * qrst(13 + -14x + 2x2) = 8x + -1x2 + -15

Reorder the terms for easier multiplication:
qrst(-3 + x)(13 + -14x + 2x2) = 8x + -1x2 + -15

Multiply (-3 + x) * (13 + -14x + 2x2)
qrst(-3(13 + -14x + 2x2) + x(13 + -14x + 2x2)) = 8x + -1x2 + -15
qrst((13 * -3 + -14x * -3 + 2x2 * -3) + x(13 + -14x + 2x2)) = 8x + -1x2 + -15
qrst((-39 + 42x + -6x2) + x(13 + -14x + 2x2)) = 8x + -1x2 + -15
qrst(-39 + 42x + -6x2 + (13 * x + -14x * x + 2x2 * x)) = 8x + -1x2 + -15
qrst(-39 + 42x + -6x2 + (13x + -14x2 + 2x3)) = 8x + -1x2 + -15

Reorder the terms:
qrst(-39 + 42x + 13x + -6x2 + -14x2 + 2x3) = 8x + -1x2 + -15

Combine like terms: 42x + 13x = 55x
qrst(-39 + 55x + -6x2 + -14x2 + 2x3) = 8x + -1x2 + -15

Combine like terms: -6x2 + -14x2 = -20x2
qrst(-39 + 55x + -20x2 + 2x3) = 8x + -1x2 + -15
(-39 * qrst + 55x * qrst + -20x2 * qrst + 2x3 * qrst) = 8x + -1x2 + -15
(-39qrst + 55qrstx + -20qrstx2 + 2qrstx3) = 8x + -1x2 + -15

Reorder the terms:
-39qrst + 55qrstx + -20qrstx2 + 2qrstx3 = -15 + 8x + -1x2

Solving
-39qrst + 55qrstx + -20qrstx2 + 2qrstx3 = -15 + 8x + -1x2

Solving for variable 'q'.

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

Reorder the terms:
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = -15 + 8x + -1x2 + 15 + -8x + x2

Reorder the terms:
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = -15 + 15 + 8x + -8x + -1x2 + x2

Combine like terms: -15 + 15 = 0
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = 0 + 8x + -8x + -1x2 + x2
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = 0 + -1x2 + x2
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15 + -39qrst + 55qrstx + -20qrstx2 + 2qrstx3 + -8x + x2 = 0

The solution to this equation could not be determined.

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