x^2+sqrt(7x)-1=0

Solution for x^2+sqrt(7x)-1=0 equation:

Simplifying
x2 + sqrt(7x) + -1 = 0

Remove parenthesis around (7x)
x2 + qrst * 7x + -1 = 0

Reorder the terms for easier multiplication:
x2 + 7qrst * x + -1 = 0

Multiply qrst * x
x2 + 7qrstx + -1 = 0

Reorder the terms:
-1 + 7qrstx + x2 = 0

Solving
-1 + 7qrstx + x2 = 0

Solving for variable 'q'.

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

Add '1' to each side of the equation.
-1 + 7qrstx + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 7qrstx + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7qrstx + x2 = 0 + 1
7qrstx + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
7qrstx + x2 = 1

Add '-1x2' to each side of the equation.
7qrstx + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
7qrstx + 0 = 1 + -1x2
7qrstx = 1 + -1x2

Divide each side by '7rstx'.
q = 0.1428571429r-1s-1t-1x-1 + -0.1428571429r-1s-1t-1x

Simplifying
q = 0.1428571429r-1s-1t-1x-1 + -0.1428571429r-1s-1t-1x