(-5x^4+6y^5z^2)(-5x^4-6y^5z^2)=0

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Solution for (-5x^4+6y^5z^2)(-5x^4-6y^5z^2)=0 equation: 


Simplifying
(-5x4 + 6y5z2)(-5x4 + -6y5z2) = 0

Multiply (-5x4 + 6y5z2) * (-5x4 + -6y5z2)
(-5x4 * (-5x4 + -6y5z2) + 6y5z2 * (-5x4 + -6y5z2)) = 0
((-5x4 * -5x4 + -6y5z2 * -5x4) + 6y5z2 * (-5x4 + -6y5z2)) = 0

Reorder the terms:
((30x4y5z2 + 25x8) + 6y5z2 * (-5x4 + -6y5z2)) = 0
((30x4y5z2 + 25x8) + 6y5z2 * (-5x4 + -6y5z2)) = 0
(30x4y5z2 + 25x8 + (-5x4 * 6y5z2 + -6y5z2 * 6y5z2)) = 0
(30x4y5z2 + 25x8 + (-30x4y5z2 + -36y10z4)) = 0

Reorder the terms:
(30x4y5z2 + -30x4y5z2 + 25x8 + -36y10z4) = 0

Combine like terms: 30x4y5z2 + -30x4y5z2 = 0
(0 + 25x8 + -36y10z4) = 0
(25x8 + -36y10z4) = 0

Solving
25x8 + -36y10z4 = 0

Solving for variable 'x'.

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

Add '36y10z4' to each side of the equation.
25x8 + -36y10z4 + 36y10z4 = 0 + 36y10z4

Combine like terms: -36y10z4 + 36y10z4 = 0
25x8 + 0 = 0 + 36y10z4
25x8 = 0 + 36y10z4
Remove the zero:
25x8 = 36y10z4

Divide each side by '25'.
x8 = 1.44y10z4

Simplifying
x8 = 1.44y10z4

Combine like terms: 1.44y10z4 + -1.44y10z4 = 0.00
x8 + -1.44y10z4 = 0.00

Factor a difference between two squares.
(x4 + 1.2y5z2)(x4 + -1.2y5z2) = 0.00


Subproblem 1
Set the factor '(x4 + 1.2y5z2)' equal to zero and attempt to solve:

Simplifying
x4 + 1.2y5z2 = 0

Solving
x4 + 1.2y5z2 = 0

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

Add '-1.2y5z2' to each side of the equation.
x4 + 1.2y5z2 + -1.2y5z2 = 0 + -1.2y5z2

Combine like terms: 1.2y5z2 + -1.2y5z2 = 0.0
x4 + 0.0 = 0 + -1.2y5z2
x4 = 0 + -1.2y5z2
Remove the zero:
x4 = -1.2y5z2

Simplifying
x4 = -1.2y5z2

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 '(x4 + -1.2y5z2)' equal to zero and attempt to solve:

Simplifying
x4 + -1.2y5z2 = 0

Solving
x4 + -1.2y5z2 = 0

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

Add '1.2y5z2' to each side of the equation.
x4 + -1.2y5z2 + 1.2y5z2 = 0 + 1.2y5z2

Combine like terms: -1.2y5z2 + 1.2y5z2 = 0.0
x4 + 0.0 = 0 + 1.2y5z2
x4 = 0 + 1.2y5z2
Remove the zero:
x4 = 1.2y5z2

Simplifying
x4 = 1.2y5z2

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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