8r^2-34-9=0

Solution for 8r^2-34-9=0 equation:

Simplifying
8r2 + -34 + -9 = 0

Reorder the terms:
-34 + -9 + 8r2 = 0

Combine like terms: -34 + -9 = -43
-43 + 8r2 = 0

Solving
-43 + 8r2 = 0

Solving for variable 'r'.

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

Add '43' to each side of the equation.
-43 + 43 + 8r2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 8r2 = 0 + 43
8r2 = 0 + 43

Combine like terms: 0 + 43 = 43
8r2 = 43

Divide each side by '8'.
r2 = 5.375

Simplifying
r2 = 5.375

Take the square root of each side:
r = {-2.318404624, 2.318404624}