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

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


Simplifying
(7xy2 + -1xy)(7xy2 + xy) = 0

Reorder the terms:
(-1xy + 7xy2)(7xy2 + xy) = 0

Reorder the terms:
(-1xy + 7xy2)(xy + 7xy2) = 0

Multiply (-1xy + 7xy2) * (xy + 7xy2)
(-1xy * (xy + 7xy2) + 7xy2 * (xy + 7xy2)) = 0
((xy * -1xy + 7xy2 * -1xy) + 7xy2 * (xy + 7xy2)) = 0
((-1x2y2 + -7x2y3) + 7xy2 * (xy + 7xy2)) = 0
(-1x2y2 + -7x2y3 + (xy * 7xy2 + 7xy2 * 7xy2)) = 0
(-1x2y2 + -7x2y3 + (7x2y3 + 49x2y4)) = 0

Combine like terms: -7x2y3 + 7x2y3 = 0
(-1x2y2 + 0 + 49x2y4) = 0
(-1x2y2 + 49x2y4) = 0

Solving
-1x2y2 + 49x2y4 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(-1 + 49y2) = 0

Factor a difference between two squares.
x2y2((1 + 7y)(-1 + 7y)) = 0

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + 7y)' equal to zero and attempt to solve: Simplifying 1 + 7y = 0 Solving 1 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 0 + -1 7y = 0 + -1 Combine like terms: 0 + -1 = -1 7y = -1 Add '-7y' to each side of the equation. 7y + -7y = -1 + -7y Combine like terms: 7y + -7y = 0 0 = -1 + -7y Simplifying 0 = -1 + -7y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-1 + 7y)' equal to zero and attempt to solve: Simplifying -1 + 7y = 0 Solving -1 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7y = 0 + 1 7y = 0 + 1 Combine like terms: 0 + 1 = 1 7y = 1 Add '-7y' to each side of the equation. 7y + -7y = 1 + -7y Combine like terms: 7y + -7y = 0 0 = 1 + -7y Simplifying 0 = 1 + -7y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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