x^2+8x+3xsqrt(x^2+8x)=18

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Solution for x^2+8x+3xsqrt(x^2+8x)=18 equation:


Simplifying
x2 + 8x + 3xsqrt(x2 + 8x) = 18

Reorder the terms:
x2 + 8x + 3qrstx(8x + x2) = 18
x2 + 8x + (8x * 3qrstx + x2 * 3qrstx) = 18
x2 + 8x + (24qrstx2 + 3qrstx3) = 18

Reorder the terms:
24qrstx2 + 3qrstx3 + 8x + x2 = 18

Solving
24qrstx2 + 3qrstx3 + 8x + x2 = 18

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.
24qrstx2 + 3qrstx3 + 8x + -8x + x2 = 18 + -8x

Combine like terms: 8x + -8x = 0
24qrstx2 + 3qrstx3 + 0 + x2 = 18 + -8x
24qrstx2 + 3qrstx3 + x2 = 18 + -8x

Add '-1x2' to each side of the equation.
24qrstx2 + 3qrstx3 + x2 + -1x2 = 18 + -8x + -1x2

Combine like terms: x2 + -1x2 = 0
24qrstx2 + 3qrstx3 + 0 = 18 + -8x + -1x2
24qrstx2 + 3qrstx3 = 18 + -8x + -1x2

Reorder the terms:
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = 18 + -8x + -1x2 + -18 + 8x + x2

Reorder the terms:
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = 18 + -18 + -8x + 8x + -1x2 + x2

Combine like terms: 18 + -18 = 0
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = 0 + -8x + 8x + -1x2 + x2
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = 0 + -1x2 + x2
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-18 + 24qrstx2 + 3qrstx3 + 8x + x2 = 0

The solution to this equation could not be determined.

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