(x+5y)(x-5y)=

Solution for (x+5y)(x-5y)= equation:

Simplifying
(x + 5y)(x + -5y) = 0

Multiply (x + 5y) * (x + -5y)
(x(x + -5y) + 5y * (x + -5y)) = 0
((x * x + -5y * x) + 5y * (x + -5y)) = 0

Reorder the terms:
((-5xy + x2) + 5y * (x + -5y)) = 0
((-5xy + x2) + 5y * (x + -5y)) = 0
(-5xy + x2 + (x * 5y + -5y * 5y)) = 0
(-5xy + x2 + (5xy + -25y2)) = 0

Reorder the terms:
(-5xy + 5xy + x2 + -25y2) = 0

Combine like terms: -5xy + 5xy = 0
(0 + x2 + -25y2) = 0
(x2 + -25y2) = 0

Solving
x2 + -25y2 = 0

Solving for variable 'x'.

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

Add '25y2' to each side of the equation.
x2 + -25y2 + 25y2 = 0 + 25y2

Combine like terms: -25y2 + 25y2 = 0
x2 + 0 = 0 + 25y2
x2 = 0 + 25y2
Remove the zero:
x2 = 25y2

Simplifying
x2 = 25y2

Take the square root of each side:
x = {-5y, 5y}