(-4x+5y-4z)(-5x+5y+3z)=

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Solution for (-4x+5y-4z)(-5x+5y+3z)= equation: 


Simplifying
(-4x + 5y + -4z)(-5x + 5y + 3z) = 0

Multiply (-4x + 5y + -4z) * (-5x + 5y + 3z)
(-4x * (-5x + 5y + 3z) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
((-5x * -4x + 5y * -4x + 3z * -4x) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0

Reorder the terms:
((-20xy + -12xz + 20x2) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
((-20xy + -12xz + 20x2) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
(-20xy + -12xz + 20x2 + (-5x * 5y + 5y * 5y + 3z * 5y) + -4z * (-5x + 5y + 3z)) = 0

Reorder the terms:
(-20xy + -12xz + 20x2 + (-25xy + 15yz + 25y2) + -4z * (-5x + 5y + 3z)) = 0
(-20xy + -12xz + 20x2 + (-25xy + 15yz + 25y2) + -4z * (-5x + 5y + 3z)) = 0
(-20xy + -12xz + 20x2 + -25xy + 15yz + 25y2 + (-5x * -4z + 5y * -4z + 3z * -4z)) = 0
(-20xy + -12xz + 20x2 + -25xy + 15yz + 25y2 + (20xz + -20yz + -12z2)) = 0

Reorder the terms:
(-20xy + -25xy + -12xz + 20xz + 20x2 + 15yz + -20yz + 25y2 + -12z2) = 0

Combine like terms: -20xy + -25xy = -45xy
(-45xy + -12xz + 20xz + 20x2 + 15yz + -20yz + 25y2 + -12z2) = 0

Combine like terms: -12xz + 20xz = 8xz
(-45xy + 8xz + 20x2 + 15yz + -20yz + 25y2 + -12z2) = 0

Combine like terms: 15yz + -20yz = -5yz
(-45xy + 8xz + 20x2 + -5yz + 25y2 + -12z2) = 0

Solving
-45xy + 8xz + 20x2 + -5yz + 25y2 + -12z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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