x^2+18=8x+6sqrt(x^2-8x+9)

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Solution for x^2+18=8x+6sqrt(x^2-8x+9) equation:


Simplifying
x2 + 18 = 8x + 6sqrt(x2 + -8x + 9)

Reorder the terms:
18 + x2 = 8x + 6sqrt(x2 + -8x + 9)

Reorder the terms:
18 + x2 = 8x + 6qrst(9 + -8x + x2)
18 + x2 = 8x + (9 * 6qrst + -8x * 6qrst + x2 * 6qrst)
18 + x2 = 8x + (54qrst + -48qrstx + 6qrstx2)

Reorder the terms:
18 + x2 = 54qrst + -48qrstx + 6qrstx2 + 8x

Solving
18 + x2 = 54qrst + -48qrstx + 6qrstx2 + 8x

Solving for variable 'x'.

Reorder the terms:
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 54qrst + -48qrstx + 6qrstx2 + 8x + -54qrst + 48qrstx + -6qrstx2 + -8x

Reorder the terms:
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 54qrst + -54qrst + -48qrstx + 48qrstx + 6qrstx2 + -6qrstx2 + 8x + -8x

Combine like terms: 54qrst + -54qrst = 0
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 0 + -48qrstx + 48qrstx + 6qrstx2 + -6qrstx2 + 8x + -8x
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = -48qrstx + 48qrstx + 6qrstx2 + -6qrstx2 + 8x + -8x

Combine like terms: -48qrstx + 48qrstx = 0
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 0 + 6qrstx2 + -6qrstx2 + 8x + -8x
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 6qrstx2 + -6qrstx2 + 8x + -8x

Combine like terms: 6qrstx2 + -6qrstx2 = 0
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 0 + 8x + -8x
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -54qrst + 48qrstx + -6qrstx2 + -8x + x2 = 0

The solution to this equation could not be determined.

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