x^2-4sqrt(2x)+6=0

Solution for x^2-4sqrt(2x)+6=0 equation:

Simplifying
x2 + -4sqrt(2x) + 6 = 0

Remove parenthesis around (2x)
x2 + -4qrst * 2x + 6 = 0

Reorder the terms for easier multiplication:
x2 + -4 * 2qrst * x + 6 = 0

Multiply -4 * 2
x2 + -8qrst * x + 6 = 0

Multiply qrst * x
x2 + -8qrstx + 6 = 0

Reorder the terms:
6 + -8qrstx + x2 = 0

Solving
6 + -8qrstx + 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 + -8qrstx + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -8qrstx + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -8qrstx + x2 = 0 + -6
-8qrstx + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-8qrstx + x2 = -6

Add '-1x2' to each side of the equation.
-8qrstx + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
-8qrstx + 0 = -6 + -1x2
-8qrstx = -6 + -1x2

Divide each side by '-8rstx'.
q = 0.75r-1s-1t-1x-1 + 0.125r-1s-1t-1x

Simplifying
q = 0.75r-1s-1t-1x-1 + 0.125r-1s-1t-1x