6r^2-23+20=0

Solution for 6r^2-23+20=0 equation:

Simplifying
6r2 + -23 + 20 = 0

Reorder the terms:
-23 + 20 + 6r2 = 0

Combine like terms: -23 + 20 = -3
-3 + 6r2 = 0

Solving
-3 + 6r2 = 0

Solving for variable 'r'.

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

Add '3' to each side of the equation.
-3 + 3 + 6r2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6r2 = 0 + 3
6r2 = 0 + 3

Combine like terms: 0 + 3 = 3
6r2 = 3

Divide each side by '6'.
r2 = 0.5

Simplifying
r2 = 0.5

Take the square root of each side:
r = {-0.707106781, 0.707106781}