(6r+5)(6r-5)=

Solution for (6r+5)(6r-5)= equation:

Simplifying
(6r + 5)(6r + -5) = 0

Reorder the terms:
(5 + 6r)(6r + -5) = 0

Reorder the terms:
(5 + 6r)(-5 + 6r) = 0

Multiply (5 + 6r) * (-5 + 6r)
(5(-5 + 6r) + 6r * (-5 + 6r)) = 0
((-5 * 5 + 6r * 5) + 6r * (-5 + 6r)) = 0
((-25 + 30r) + 6r * (-5 + 6r)) = 0
(-25 + 30r + (-5 * 6r + 6r * 6r)) = 0
(-25 + 30r + (-30r + 36r2)) = 0

Combine like terms: 30r + -30r = 0
(-25 + 0 + 36r2) = 0
(-25 + 36r2) = 0

Solving
-25 + 36r2 = 0

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + 36r2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 36r2 = 0 + 25
36r2 = 0 + 25

Combine like terms: 0 + 25 = 25
36r2 = 25

Divide each side by '36'.
r2 = 0.6944444444

Simplifying
r2 = 0.6944444444

Take the square root of each side:
r = {-0.833333333, 0.833333333}