x^2+3xsqrt(x^2+3x)=6

Solution for x^2+3xsqrt(x^2+3x)=6 equation:

Simplifying
x2 + 3xsqrt(x2 + 3x) = 6

Reorder the terms:
x2 + 3qrstx(3x + x2) = 6
x2 + (3x * 3qrstx + x2 * 3qrstx) = 6
x2 + (9qrstx2 + 3qrstx3) = 6

Reorder the terms:
9qrstx2 + 3qrstx3 + x2 = 6

Solving
9qrstx2 + 3qrstx3 + x2 = 6

Solving for variable 'q'.

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

Add '-1x2' to each side of the equation.
9qrstx2 + 3qrstx3 + x2 + -1x2 = 6 + -1x2

Combine like terms: x2 + -1x2 = 0
9qrstx2 + 3qrstx3 + 0 = 6 + -1x2
9qrstx2 + 3qrstx3 = 6 + -1x2

Reorder the terms:
-6 + 9qrstx2 + 3qrstx3 + x2 = 6 + -1x2 + -6 + x2

Reorder the terms:
-6 + 9qrstx2 + 3qrstx3 + x2 = 6 + -6 + -1x2 + x2

Combine like terms: 6 + -6 = 0
-6 + 9qrstx2 + 3qrstx3 + x2 = 0 + -1x2 + x2
-6 + 9qrstx2 + 3qrstx3 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + 9qrstx2 + 3qrstx3 + x2 = 0

The solution to this equation could not be determined.