(2xy^2-7y)(2xy^2+7y)=

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Solution for (2xy^2-7y)(2xy^2+7y)= equation:


Simplifying
(2xy2 + -7y)(2xy2 + 7y) = 0

Multiply (2xy2 + -7y) * (2xy2 + 7y)
(2xy2 * (2xy2 + 7y) + -7y * (2xy2 + 7y)) = 0
((2xy2 * 2xy2 + 7y * 2xy2) + -7y * (2xy2 + 7y)) = 0

Reorder the terms:
((14xy3 + 4x2y4) + -7y * (2xy2 + 7y)) = 0
((14xy3 + 4x2y4) + -7y * (2xy2 + 7y)) = 0
(14xy3 + 4x2y4 + (2xy2 * -7y + 7y * -7y)) = 0
(14xy3 + 4x2y4 + (-14xy3 + -49y2)) = 0

Reorder the terms:
(14xy3 + -14xy3 + 4x2y4 + -49y2) = 0

Combine like terms: 14xy3 + -14xy3 = 0
(0 + 4x2y4 + -49y2) = 0
(4x2y4 + -49y2) = 0

Solving
4x2y4 + -49y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '49y2' to each side of the equation.
4x2y4 + -49y2 + 49y2 = 0 + 49y2

Combine like terms: -49y2 + 49y2 = 0
4x2y4 + 0 = 0 + 49y2
4x2y4 = 0 + 49y2
Remove the zero:
4x2y4 = 49y2

Divide each side by '4y4'.
x2 = 12.25y-2

Simplifying
x2 = 12.25y-2

Take the square root of each side:
x = {-3.5y-1, 3.5y-1}

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