-6r^2+19-8=0

Solution for -6r^2+19-8=0 equation:

Simplifying
-6r2 + 19 + -8 = 0

Reorder the terms:
19 + -8 + -6r2 = 0

Combine like terms: 19 + -8 = 11
11 + -6r2 = 0

Solving
11 + -6r2 = 0

Solving for variable 'r'.

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

Add '-11' to each side of the equation.
11 + -11 + -6r2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6r2 = 0 + -11
-6r2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6r2 = -11

Divide each side by '-6'.
r2 = 1.833333333

Simplifying
r2 = 1.833333333

Take the square root of each side:
r = {-1.354006401, 1.354006401}