x^2+2sqrt(3x)+3=0

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Solution for x^2+2sqrt(3x)+3=0 equation:


Simplifying
x2 + 2sqrt(3x) + 3 = 0

Remove parenthesis around (3x)
x2 + 2qrst * 3x + 3 = 0

Reorder the terms for easier multiplication:
x2 + 2 * 3qrst * x + 3 = 0

Multiply 2 * 3
x2 + 6qrst * x + 3 = 0

Multiply qrst * x
x2 + 6qrstx + 3 = 0

Reorder the terms:
3 + 6qrstx + x2 = 0

Solving
3 + 6qrstx + x2 = 0

Solving for variable 'q'.

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

Add '-3' to each side of the equation.
3 + 6qrstx + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 6qrstx + x2 = 0 + -3

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

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

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

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

Divide each side by '6rstx'.
q = -0.5r-1s-1t-1x-1 + -0.1666666667r-1s-1t-1x

Simplifying
q = -0.5r-1s-1t-1x-1 + -0.1666666667r-1s-1t-1x

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