5r^2-32-21=0

Solution for 5r^2-32-21=0 equation:

Simplifying
5r2 + -32 + -21 = 0

Reorder the terms:
-32 + -21 + 5r2 = 0

Combine like terms: -32 + -21 = -53
-53 + 5r2 = 0

Solving
-53 + 5r2 = 0

Solving for variable 'r'.

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

Add '53' to each side of the equation.
-53 + 53 + 5r2 = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 5r2 = 0 + 53
5r2 = 0 + 53

Combine like terms: 0 + 53 = 53
5r2 = 53

Divide each side by '5'.
r2 = 10.6

Simplifying
r2 = 10.6

Take the square root of each side:
r = {-3.255764119, 3.255764119}