3r^2-22-16=0

Solution for 3r^2-22-16=0 equation:

Simplifying
3r2 + -22 + -16 = 0

Reorder the terms:
-22 + -16 + 3r2 = 0

Combine like terms: -22 + -16 = -38
-38 + 3r2 = 0

Solving
-38 + 3r2 = 0

Solving for variable 'r'.

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

Add '38' to each side of the equation.
-38 + 38 + 3r2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 3r2 = 0 + 38
3r2 = 0 + 38

Combine like terms: 0 + 38 = 38
3r2 = 38

Divide each side by '3'.
r2 = 12.66666667

Simplifying
r2 = 12.66666667

Take the square root of each side:
r = {-3.559026084, 3.559026084}