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

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

Simplifying
x2 + -3sqrt(3) + 6 = 0

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

Multiply -3 * 3
x2 + -9qrst + 6 = 0

Reorder the terms:
6 + -9qrst + x2 = 0

Solving
6 + -9qrst + 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 + -9qrst + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -9qrst + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9qrst + x2 = 0 + -6
-9qrst + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-9qrst + x2 = -6

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

Combine like terms: x2 + -1x2 = 0
-9qrst + 0 = -6 + -1x2
-9qrst = -6 + -1x2

Divide each side by '-9rst'.
q = 0.6666666667r-1s-1t-1 + 0.1111111111r-1s-1t-1x2

Simplifying
q = 0.6666666667r-1s-1t-1 + 0.1111111111r-1s-1t-1x2