x^2-sqrt(3)x-6=0

Solution for x^2-sqrt(3)x-6=0 equation:

Simplifying
x2 + -1sqrt(3) * x + -6 = 0

Reorder the terms for easier multiplication:
x2 + -1 * 3qrst * x + -6 = 0

Multiply -1 * 3
x2 + -3qrst * x + -6 = 0

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

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

Solving
-6 + -3qrstx + x2 = 0

Solving for variable 'q'.

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

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

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

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

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

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

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

Divide each side by '-3rstx'.
q = -2r-1s-1t-1x-1 + 0.3333333333r-1s-1t-1x

Simplifying
q = -2r-1s-1t-1x-1 + 0.3333333333r-1s-1t-1x