x^2+8x+(2sqrt(x^2+8x))=15

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


Simplifying
x2 + 8x + (2sqrt(x2 + 8x)) = 15

Reorder the terms:
x2 + 8x + (2qrst(8x + x2)) = 15
x2 + 8x + ((8x * 2qrst + x2 * 2qrst)) = 15
x2 + 8x + ((16qrstx + 2qrstx2)) = 15
x2 + 8x + (16qrstx + 2qrstx2) = 15

Remove parenthesis around (16qrstx + 2qrstx2)
x2 + 8x + 16qrstx + 2qrstx2 = 15

Reorder the terms:
16qrstx + 2qrstx2 + 8x + x2 = 15

Solving
16qrstx + 2qrstx2 + 8x + x2 = 15

Solving for variable 'q'.

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

Add '-8x' to each side of the equation.
16qrstx + 2qrstx2 + 8x + -8x + x2 = 15 + -8x

Combine like terms: 8x + -8x = 0
16qrstx + 2qrstx2 + 0 + x2 = 15 + -8x
16qrstx + 2qrstx2 + x2 = 15 + -8x

Add '-1x2' to each side of the equation.
16qrstx + 2qrstx2 + x2 + -1x2 = 15 + -8x + -1x2

Combine like terms: x2 + -1x2 = 0
16qrstx + 2qrstx2 + 0 = 15 + -8x + -1x2
16qrstx + 2qrstx2 = 15 + -8x + -1x2

Reorder the terms:
-15 + 16qrstx + 2qrstx2 + 8x + x2 = 15 + -8x + -1x2 + -15 + 8x + x2

Reorder the terms:
-15 + 16qrstx + 2qrstx2 + 8x + x2 = 15 + -15 + -8x + 8x + -1x2 + x2

Combine like terms: 15 + -15 = 0
-15 + 16qrstx + 2qrstx2 + 8x + x2 = 0 + -8x + 8x + -1x2 + x2
-15 + 16qrstx + 2qrstx2 + 8x + x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
-15 + 16qrstx + 2qrstx2 + 8x + x2 = 0 + -1x2 + x2
-15 + 16qrstx + 2qrstx2 + 8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-15 + 16qrstx + 2qrstx2 + 8x + x2 = 0

The solution to this equation could not be determined.

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