(3xy-5z)(3xy+5z)(9x^2y^2+25z^2)=

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Solution for (3xy-5z)(3xy+5z)(9x^2y^2+25z^2)= equation: 


Simplifying
(3xy + -5z)(3xy + 5z)(9x2y2 + 25z2) = 0

Multiply (3xy + -5z) * (3xy + 5z)
(3xy * (3xy + 5z) + -5z * (3xy + 5z))(9x2y2 + 25z2) = 0
((3xy * 3xy + 5z * 3xy) + -5z * (3xy + 5z))(9x2y2 + 25z2) = 0

Reorder the terms:
((15xyz + 9x2y2) + -5z * (3xy + 5z))(9x2y2 + 25z2) = 0
((15xyz + 9x2y2) + -5z * (3xy + 5z))(9x2y2 + 25z2) = 0
(15xyz + 9x2y2 + (3xy * -5z + 5z * -5z))(9x2y2 + 25z2) = 0
(15xyz + 9x2y2 + (-15xyz + -25z2))(9x2y2 + 25z2) = 0

Reorder the terms:
(15xyz + -15xyz + 9x2y2 + -25z2)(9x2y2 + 25z2) = 0

Combine like terms: 15xyz + -15xyz = 0
(0 + 9x2y2 + -25z2)(9x2y2 + 25z2) = 0
(9x2y2 + -25z2)(9x2y2 + 25z2) = 0

Multiply (9x2y2 + -25z2) * (9x2y2 + 25z2)
(9x2y2 * (9x2y2 + 25z2) + -25z2 * (9x2y2 + 25z2)) = 0
((9x2y2 * 9x2y2 + 25z2 * 9x2y2) + -25z2 * (9x2y2 + 25z2)) = 0

Reorder the terms:
((225x2y2z2 + 81x4y4) + -25z2 * (9x2y2 + 25z2)) = 0
((225x2y2z2 + 81x4y4) + -25z2 * (9x2y2 + 25z2)) = 0
(225x2y2z2 + 81x4y4 + (9x2y2 * -25z2 + 25z2 * -25z2)) = 0
(225x2y2z2 + 81x4y4 + (-225x2y2z2 + -625z4)) = 0

Reorder the terms:
(225x2y2z2 + -225x2y2z2 + 81x4y4 + -625z4) = 0

Combine like terms: 225x2y2z2 + -225x2y2z2 = 0
(0 + 81x4y4 + -625z4) = 0
(81x4y4 + -625z4) = 0

Solving
81x4y4 + -625z4 = 0

Solving for variable 'x'.

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

Add '625z4' to each side of the equation.
81x4y4 + -625z4 + 625z4 = 0 + 625z4

Combine like terms: -625z4 + 625z4 = 0
81x4y4 + 0 = 0 + 625z4
81x4y4 = 0 + 625z4
Remove the zero:
81x4y4 = 625z4

Divide each side by '81y4'.
x4 = 7.716049383y-4z4

Simplifying
x4 = 7.716049383y-4z4

Combine like terms: 7.716049383y-4z4 + -7.716049383y-4z4 = 0.000000000
x4 + -7.716049383y-4z4 = 0.000000000

The solution to this equation could not be determined.

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