3r*3r-2=46

Solution for 3r*3r-2=46 equation:

Simplifying
3r * 3r + -2 = 46

Reorder the terms for easier multiplication:
3 * 3r * r + -2 = 46

Multiply 3 * 3
9r * r + -2 = 46

Multiply r * r
9r2 + -2 = 46

Reorder the terms:
-2 + 9r2 = 46

Solving
-2 + 9r2 = 46

Solving for variable 'r'.

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

Add '2' to each side of the equation.
-2 + 2 + 9r2 = 46 + 2

Combine like terms: -2 + 2 = 0
0 + 9r2 = 46 + 2
9r2 = 46 + 2

Combine like terms: 46 + 2 = 48
9r2 = 48

Divide each side by '9'.
r2 = 5.333333333

Simplifying
r2 = 5.333333333

Take the square root of each side:
r = {-2.309401077, 2.309401077}