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:
-3qrstx + qrstx2 + 3x + x2 = 6

Solving
-3qrstx + qrstx2 + 3x + x2 = 6

Solving for variable 'q'.

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

Add '-3x' to each side of the equation.
-3qrstx + qrstx2 + 3x + -3x + x2 = 6 + -3x

Combine like terms: 3x + -3x = 0
-3qrstx + qrstx2 + 0 + x2 = 6 + -3x
-3qrstx + qrstx2 + x2 = 6 + -3x

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

Combine like terms: x2 + -1x2 = 0
-3qrstx + qrstx2 + 0 = 6 + -3x + -1x2
-3qrstx + qrstx2 = 6 + -3x + -1x2

Reorder the terms:
-6 + -3qrstx + qrstx2 + 3x + x2 = 6 + -3x + -1x2 + -6 + 3x + x2

Reorder the terms:
-6 + -3qrstx + qrstx2 + 3x + x2 = 6 + -6 + -3x + 3x + -1x2 + x2

Combine like terms: 6 + -6 = 0
-6 + -3qrstx + qrstx2 + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
-6 + -3qrstx + qrstx2 + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
-6 + -3qrstx + qrstx2 + 3x + x2 = 0 + -1x2 + x2
-6 + -3qrstx + qrstx2 + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + -3qrstx + qrstx2 + 3x + x2 = 0

The solution to this equation could not be determined.

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