(6x^2)+1=13

Solution for (6x^2)+1=13 equation:

Simplifying
(6x2) + 1 = 13

Reorder the terms:
1 + (6x2) = 13

Solving
1 + (6x2) = 13

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + (6x2) = 13 + -1

Combine like terms: 1 + -1 = 0
0 + (6x2) = 13 + -1
(6x2) = 13 + -1

Combine like terms: 13 + -1 = 12
(6x2) = 12

Divide each side by '6'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}