(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}