r*6r+6=48

Solution for r*6r+6=48 equation:

Simplifying
r * 6r + 6 = 48

Reorder the terms for easier multiplication:
6r * r + 6 = 48

Multiply r * r
6r2 + 6 = 48

Reorder the terms:
6 + 6r2 = 48

Solving
6 + 6r2 = 48

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 + 6r2 = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6r2 = 48 + -6
6r2 = 48 + -6

Combine like terms: 48 + -6 = 42
6r2 = 42

Divide each side by '6'.
r2 = 7

Simplifying
r2 = 7

Take the square root of each side:
r = {-2.645751311, 2.645751311}