X^2+3x+sqrt(x^2+3x)=6

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


Simplifying
X2 + 3x + sqrt(x2 + 3x) = 6

Reorder the terms:
X2 + 3x + qrst(3x + x2) = 6
X2 + 3x + (3x * qrst + x2 * qrst) = 6
X2 + 3x + (3qrstx + qrstx2) = 6

Reorder the terms:
X2 + 3qrstx + qrstx2 + 3x = 6

Solving
X2 + 3qrstx + qrstx2 + 3x = 6

Solving for variable 'X'.

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

Add '-3qrstx' to each side of the equation.
X2 + 3qrstx + qrstx2 + -3qrstx + 3x = 6 + -3qrstx

Reorder the terms:
X2 + 3qrstx + -3qrstx + qrstx2 + 3x = 6 + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
X2 + 0 + qrstx2 + 3x = 6 + -3qrstx
X2 + qrstx2 + 3x = 6 + -3qrstx

Add '-1qrstx2' to each side of the equation.
X2 + qrstx2 + -1qrstx2 + 3x = 6 + -3qrstx + -1qrstx2

Combine like terms: qrstx2 + -1qrstx2 = 0
X2 + 0 + 3x = 6 + -3qrstx + -1qrstx2
X2 + 3x = 6 + -3qrstx + -1qrstx2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 6 + -3qrstx + -1qrstx2 + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = 6 + -3qrstx + -1qrstx2 + -3x
X2 = 6 + -3qrstx + -1qrstx2 + -3x

Simplifying
X2 = 6 + -3qrstx + -1qrstx2 + -3x

Reorder the terms:
-6 + X2 + 3qrstx + qrstx2 + 3x = 6 + -3qrstx + -1qrstx2 + -3x + -6 + 3qrstx + qrstx2 + 3x

Reorder the terms:
-6 + X2 + 3qrstx + qrstx2 + 3x = 6 + -6 + -3qrstx + 3qrstx + -1qrstx2 + qrstx2 + -3x + 3x

Combine like terms: 6 + -6 = 0
-6 + X2 + 3qrstx + qrstx2 + 3x = 0 + -3qrstx + 3qrstx + -1qrstx2 + qrstx2 + -3x + 3x
-6 + X2 + 3qrstx + qrstx2 + 3x = -3qrstx + 3qrstx + -1qrstx2 + qrstx2 + -3x + 3x

Combine like terms: -3qrstx + 3qrstx = 0
-6 + X2 + 3qrstx + qrstx2 + 3x = 0 + -1qrstx2 + qrstx2 + -3x + 3x
-6 + X2 + 3qrstx + qrstx2 + 3x = -1qrstx2 + qrstx2 + -3x + 3x

Combine like terms: -1qrstx2 + qrstx2 = 0
-6 + X2 + 3qrstx + qrstx2 + 3x = 0 + -3x + 3x
-6 + X2 + 3qrstx + qrstx2 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + X2 + 3qrstx + qrstx2 + 3x = 0

The solution to this equation could not be determined.

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