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

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

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

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

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

Multiply (5f + 6r) * (-5f + 6r)
(5f * (-5f + 6r) + 6r * (-5f + 6r)) = 0
((-5f * 5f + 6r * 5f) + 6r * (-5f + 6r)) = 0

Reorder the terms:
((30fr + -25f2) + 6r * (-5f + 6r)) = 0
((30fr + -25f2) + 6r * (-5f + 6r)) = 0
(30fr + -25f2 + (-5f * 6r + 6r * 6r)) = 0
(30fr + -25f2 + (-30fr + 36r2)) = 0

Reorder the terms:
(30fr + -30fr + -25f2 + 36r2) = 0

Combine like terms: 30fr + -30fr = 0
(0 + -25f2 + 36r2) = 0
(-25f2 + 36r2) = 0

Solving
-25f2 + 36r2 = 0

Solving for variable 'f'.

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

Add '-36r2' to each side of the equation.
-25f2 + 36r2 + -36r2 = 0 + -36r2

Combine like terms: 36r2 + -36r2 = 0
-25f2 + 0 = 0 + -36r2
-25f2 = 0 + -36r2
Remove the zero:
-25f2 = -36r2

Divide each side by '-25'.
f2 = 1.44r2

Simplifying
f2 = 1.44r2

Take the square root of each side:
f = {-1.2r, 1.2r}