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Simplifying
(7x + -2y)(7x + 2y) = 0
Multiply (7x + -2y) * (7x + 2y)
(7x * (7x + 2y) + -2y * (7x + 2y)) = 0
((7x * 7x + 2y * 7x) + -2y * (7x + 2y)) = 0
Reorder the terms:
((14xy + 49x2) + -2y * (7x + 2y)) = 0
((14xy + 49x2) + -2y * (7x + 2y)) = 0
(14xy + 49x2 + (7x * -2y + 2y * -2y)) = 0
(14xy + 49x2 + (-14xy + -4y2)) = 0
Reorder the terms:
(14xy + -14xy + 49x2 + -4y2) = 0
Combine like terms: 14xy + -14xy = 0
(0 + 49x2 + -4y2) = 0
(49x2 + -4y2) = 0
Solving
49x2 + -4y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y2' to each side of the equation.
49x2 + -4y2 + 4y2 = 0 + 4y2
Combine like terms: -4y2 + 4y2 = 0
49x2 + 0 = 0 + 4y2
49x2 = 0 + 4y2
Remove the zero:
49x2 = 4y2
Divide each side by '49'.
x2 = 0.08163265306y2
Simplifying
x2 = 0.08163265306y2
Take the square root of each side:
x = {-0.285714286y, 0.285714286y}
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