16r^2+6=42

Solution for 16r^2+6=42 equation:

Simplifying
16r2 + 6 = 42

Reorder the terms:
6 + 16r2 = 42

Solving
6 + 16r2 = 42

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 16r2 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 16r2 = 42 + -6
16r2 = 42 + -6

Combine like terms: 42 + -6 = 36
16r2 = 36

Divide each side by '16'.
r2 = 2.25

Simplifying
r2 = 2.25

Take the square root of each side:
r = {-1.5, 1.5}