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Simplifying
(y + 5x)(y + -5x) = 0
Reorder the terms:
(5x + y)(y + -5x) = 0
Reorder the terms:
(5x + y)(-5x + y) = 0
Multiply (5x + y) * (-5x + y)
(5x * (-5x + y) + y(-5x + y)) = 0
((-5x * 5x + y * 5x) + y(-5x + y)) = 0
Reorder the terms:
((5xy + -25x2) + y(-5x + y)) = 0
((5xy + -25x2) + y(-5x + y)) = 0
(5xy + -25x2 + (-5x * y + y * y)) = 0
(5xy + -25x2 + (-5xy + y2)) = 0
Reorder the terms:
(5xy + -5xy + -25x2 + y2) = 0
Combine like terms: 5xy + -5xy = 0
(0 + -25x2 + y2) = 0
(-25x2 + y2) = 0
Solving
-25x2 + y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y2' to each side of the equation.
-25x2 + y2 + -1y2 = 0 + -1y2
Combine like terms: y2 + -1y2 = 0
-25x2 + 0 = 0 + -1y2
-25x2 = 0 + -1y2
Remove the zero:
-25x2 = -1y2
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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