6r^2-13-8=0

Solution for 6r^2-13-8=0 equation:

Simplifying
6r2 + -13 + -8 = 0

Reorder the terms:
-13 + -8 + 6r2 = 0

Combine like terms: -13 + -8 = -21
-21 + 6r2 = 0

Solving
-21 + 6r2 = 0

Solving for variable 'r'.

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

Add '21' to each side of the equation.
-21 + 21 + 6r2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 6r2 = 0 + 21
6r2 = 0 + 21

Combine like terms: 0 + 21 = 21
6r2 = 21

Divide each side by '6'.
r2 = 3.5

Simplifying
r2 = 3.5

Take the square root of each side:
r = {-1.870828693, 1.870828693}