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

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


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

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

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

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

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

Solving
25x2 + -1y2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
25x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
25x2 + 0 = 0 + y2
25x2 = 0 + y2
Remove the zero:
25x2 = y2

Divide each side by '25'.
x2 = 0.04y2

Simplifying
x2 = 0.04y2

Take the square root of each side:
x = {-0.2y, 0.2y}

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