6r^2-16-6=0

Solution for 6r^2-16-6=0 equation:

Simplifying
6r2 + -16 + -6 = 0

Reorder the terms:
-16 + -6 + 6r2 = 0

Combine like terms: -16 + -6 = -22
-22 + 6r2 = 0

Solving
-22 + 6r2 = 0

Solving for variable 'r'.

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

Add '22' to each side of the equation.
-22 + 22 + 6r2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 6r2 = 0 + 22
6r2 = 0 + 22

Combine like terms: 0 + 22 = 22
6r2 = 22

Divide each side by '6'.
r2 = 3.666666667

Simplifying
r2 = 3.666666667

Take the square root of each side:
r = {-1.914854216, 1.914854216}