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Simplifying
(2x + 9y)(2x + -9y) = 0
Multiply (2x + 9y) * (2x + -9y)
(2x * (2x + -9y) + 9y * (2x + -9y)) = 0
((2x * 2x + -9y * 2x) + 9y * (2x + -9y)) = 0
Reorder the terms:
((-18xy + 4x2) + 9y * (2x + -9y)) = 0
((-18xy + 4x2) + 9y * (2x + -9y)) = 0
(-18xy + 4x2 + (2x * 9y + -9y * 9y)) = 0
(-18xy + 4x2 + (18xy + -81y2)) = 0
Reorder the terms:
(-18xy + 18xy + 4x2 + -81y2) = 0
Combine like terms: -18xy + 18xy = 0
(0 + 4x2 + -81y2) = 0
(4x2 + -81y2) = 0
Solving
4x2 + -81y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '81y2' to each side of the equation.
4x2 + -81y2 + 81y2 = 0 + 81y2
Combine like terms: -81y2 + 81y2 = 0
4x2 + 0 = 0 + 81y2
4x2 = 0 + 81y2
Remove the zero:
4x2 = 81y2
Divide each side by '4'.
x2 = 20.25y2
Simplifying
x2 = 20.25y2
Take the square root of each side:
x = {-4.5y, 4.5y}
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