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

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

Simplifying
(5y + -1x)(5y + -1x) = 0

Reorder the terms:
(-1x + 5y)(5y + -1x) = 0

Reorder the terms:
(-1x + 5y)(-1x + 5y) = 0

Multiply (-1x + 5y) * (-1x + 5y)
(-1x * (-1x + 5y) + 5y * (-1x + 5y)) = 0
((-1x * -1x + 5y * -1x) + 5y * (-1x + 5y)) = 0

Reorder the terms:
((-5xy + 1x2) + 5y * (-1x + 5y)) = 0
((-5xy + 1x2) + 5y * (-1x + 5y)) = 0
(-5xy + 1x2 + (-1x * 5y + 5y * 5y)) = 0
(-5xy + 1x2 + (-5xy + 25y2)) = 0

Reorder the terms:
(-5xy + -5xy + 1x2 + 25y2) = 0

Combine like terms: -5xy + -5xy = -10xy
(-10xy + 1x2 + 25y2) = 0

Solving
-10xy + 1x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y)(x + -5y) = 0

Subproblem 1
Set the factor '(x + -5y)' equal to zero and attempt to solve:

Simplifying
x + -5y = 0

Solving
x + -5y = 0

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

Add '5y' to each side of the equation.
x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
x + 0 = 0 + 5y
x = 0 + 5y
Remove the zero:
x = 5y

Simplifying
x = 5y
Subproblem 2
Set the factor '(x + -5y)' equal to zero and attempt to solve:

Simplifying
x + -5y = 0

Solving
x + -5y = 0

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

Add '5y' to each side of the equation.
x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
x + 0 = 0 + 5y
x = 0 + 5y
Remove the zero:
x = 5y

Simplifying
x = 5y
Solution
x = {5y, 5y}