(6r-2x)(6r+2x)=

Solution for (6r-2x)(6r+2x)= equation:

Simplifying
(6r + -2x)(6r + 2x) = 0

Multiply (6r + -2x) * (6r + 2x)
(6r * (6r + 2x) + -2x * (6r + 2x)) = 0
((6r * 6r + 2x * 6r) + -2x * (6r + 2x)) = 0

Reorder the terms:
((12rx + 36r2) + -2x * (6r + 2x)) = 0
((12rx + 36r2) + -2x * (6r + 2x)) = 0
(12rx + 36r2 + (6r * -2x + 2x * -2x)) = 0
(12rx + 36r2 + (-12rx + -4x2)) = 0

Reorder the terms:
(12rx + -12rx + 36r2 + -4x2) = 0

Combine like terms: 12rx + -12rx = 0
(0 + 36r2 + -4x2) = 0
(36r2 + -4x2) = 0

Solving
36r2 + -4x2 = 0

Solving for variable 'r'.

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

Add '4x2' to each side of the equation.
36r2 + -4x2 + 4x2 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
36r2 + 0 = 0 + 4x2
36r2 = 0 + 4x2
Remove the zero:
36r2 = 4x2

Divide each side by '36'.
r2 = 0.1111111111x2

Simplifying
r2 = 0.1111111111x2

Take the square root of each side:
r = {-0.333333333x, 0.333333333x}