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Simplifying
(7xy2 + -10y)(7xy2 + 10y) = 0
Multiply (7xy2 + -10y) * (7xy2 + 10y)
(7xy2 * (7xy2 + 10y) + -10y * (7xy2 + 10y)) = 0
((7xy2 * 7xy2 + 10y * 7xy2) + -10y * (7xy2 + 10y)) = 0
Reorder the terms:
((70xy3 + 49x2y4) + -10y * (7xy2 + 10y)) = 0
((70xy3 + 49x2y4) + -10y * (7xy2 + 10y)) = 0
(70xy3 + 49x2y4 + (7xy2 * -10y + 10y * -10y)) = 0
(70xy3 + 49x2y4 + (-70xy3 + -100y2)) = 0
Reorder the terms:
(70xy3 + -70xy3 + 49x2y4 + -100y2) = 0
Combine like terms: 70xy3 + -70xy3 = 0
(0 + 49x2y4 + -100y2) = 0
(49x2y4 + -100y2) = 0
Solving
49x2y4 + -100y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100y2' to each side of the equation.
49x2y4 + -100y2 + 100y2 = 0 + 100y2
Combine like terms: -100y2 + 100y2 = 0
49x2y4 + 0 = 0 + 100y2
49x2y4 = 0 + 100y2
Remove the zero:
49x2y4 = 100y2
Divide each side by '49y4'.
x2 = 2.040816327y-2
Simplifying
x2 = 2.040816327y-2
Take the square root of each side:
x = {-1.428571429y-1, 1.428571429y-1}
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