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Simplifying
(10x + y)(10x + -1y) = 0
Multiply (10x + y) * (10x + -1y)
(10x * (10x + -1y) + y(10x + -1y)) = 0
((10x * 10x + -1y * 10x) + y(10x + -1y)) = 0
Reorder the terms:
((-10xy + 100x2) + y(10x + -1y)) = 0
((-10xy + 100x2) + y(10x + -1y)) = 0
(-10xy + 100x2 + (10x * y + -1y * y)) = 0
(-10xy + 100x2 + (10xy + -1y2)) = 0
Reorder the terms:
(-10xy + 10xy + 100x2 + -1y2) = 0
Combine like terms: -10xy + 10xy = 0
(0 + 100x2 + -1y2) = 0
(100x2 + -1y2) = 0
Solving
100x2 + -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.
100x2 + -1y2 + y2 = 0 + y2
Combine like terms: -1y2 + y2 = 0
100x2 + 0 = 0 + y2
100x2 = 0 + y2
Remove the zero:
100x2 = y2
Divide each side by '100'.
x2 = 0.01y2
Simplifying
x2 = 0.01y2
Take the square root of each side:
x = {-0.1y, 0.1y}
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