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Simplifying
(2x + -4y)(2x + 4y) = 0
Multiply (2x + -4y) * (2x + 4y)
(2x * (2x + 4y) + -4y * (2x + 4y)) = 0
((2x * 2x + 4y * 2x) + -4y * (2x + 4y)) = 0
Reorder the terms:
((8xy + 4x2) + -4y * (2x + 4y)) = 0
((8xy + 4x2) + -4y * (2x + 4y)) = 0
(8xy + 4x2 + (2x * -4y + 4y * -4y)) = 0
(8xy + 4x2 + (-8xy + -16y2)) = 0
Reorder the terms:
(8xy + -8xy + 4x2 + -16y2) = 0
Combine like terms: 8xy + -8xy = 0
(0 + 4x2 + -16y2) = 0
(4x2 + -16y2) = 0
Solving
4x2 + -16y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16y2' to each side of the equation.
4x2 + -16y2 + 16y2 = 0 + 16y2
Combine like terms: -16y2 + 16y2 = 0
4x2 + 0 = 0 + 16y2
4x2 = 0 + 16y2
Remove the zero:
4x2 = 16y2
Divide each side by '4'.
x2 = 4y2
Simplifying
x2 = 4y2
Take the square root of each side:
x = {-2y, 2y}
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