(6y+x)(6y-x)=

Solution for (6y+x)(6y-x)= equation:

Simplifying
(6y + x)(6y + -1x) = 0

Reorder the terms:
(x + 6y)(6y + -1x) = 0

Reorder the terms:
(x + 6y)(-1x + 6y) = 0

Multiply (x + 6y) * (-1x + 6y)
(x(-1x + 6y) + 6y * (-1x + 6y)) = 0
((-1x * x + 6y * x) + 6y * (-1x + 6y)) = 0

Reorder the terms:
((6xy + -1x2) + 6y * (-1x + 6y)) = 0
((6xy + -1x2) + 6y * (-1x + 6y)) = 0
(6xy + -1x2 + (-1x * 6y + 6y * 6y)) = 0
(6xy + -1x2 + (-6xy + 36y2)) = 0

Reorder the terms:
(6xy + -6xy + -1x2 + 36y2) = 0

Combine like terms: 6xy + -6xy = 0
(0 + -1x2 + 36y2) = 0
(-1x2 + 36y2) = 0

Solving
-1x2 + 36y2 = 0

Solving for variable 'x'.

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

Add '-36y2' to each side of the equation.
-1x2 + 36y2 + -36y2 = 0 + -36y2

Combine like terms: 36y2 + -36y2 = 0
-1x2 + 0 = 0 + -36y2
-1x2 = 0 + -36y2
Remove the zero:
-1x2 = -36y2

Divide each side by '-1'.
x2 = 36y2

Simplifying
x2 = 36y2

Take the square root of each side:
x = {-6y, 6y}