86=x^2+6

Solution for 86=x^2+6 equation:

Simplifying
86 = x2 + 6

Reorder the terms:
86 = 6 + x2

Solving
86 = 6 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
86 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
86 + -1x2 = 6 + 0
86 + -1x2 = 6

Add '-86' to each side of the equation.
86 + -86 + -1x2 = 6 + -86

Combine like terms: 86 + -86 = 0
0 + -1x2 = 6 + -86
-1x2 = 6 + -86

Combine like terms: 6 + -86 = -80
-1x2 = -80

Divide each side by '-1'.
x2 = 80

Simplifying
x2 = 80

Take the square root of each side:
x = {-8.94427191, 8.94427191}