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

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


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

Multiply (-4 + 5y + -4z) * (-5x + 5y + 3z)
(-4(-5x + 5y + 3z) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
((-5x * -4 + 5y * -4 + 3z * -4) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
((20x + -20y + -12z) + 5y * (-5x + 5y + 3z) + -4z * (-5x + 5y + 3z)) = 0
(20x + -20y + -12z + (-5x * 5y + 5y * 5y + 3z * 5y) + -4z * (-5x + 5y + 3z)) = 0

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

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

Combine like terms: 15yz + -20yz = -5yz
(20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2) = 0

Solving
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0

Solving for variable 'x'.

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

Add '20y' to each side of the equation.
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + 20y + -12z2 = 0 + 20y

Reorder the terms:
20x + -25xy + 20xz + -20y + 20y + -5yz + 25y2 + -12z + -12z2 = 0 + 20y

Combine like terms: -20y + 20y = 0
20x + -25xy + 20xz + 0 + -5yz + 25y2 + -12z + -12z2 = 0 + 20y
20x + -25xy + 20xz + -5yz + 25y2 + -12z + -12z2 = 0 + 20y
Remove the zero:
20x + -25xy + 20xz + -5yz + 25y2 + -12z + -12z2 = 20y

Add '5yz' to each side of the equation.
20x + -25xy + 20xz + -5yz + 25y2 + -12z + 5yz + -12z2 = 20y + 5yz

Reorder the terms:
20x + -25xy + 20xz + -5yz + 5yz + 25y2 + -12z + -12z2 = 20y + 5yz

Combine like terms: -5yz + 5yz = 0
20x + -25xy + 20xz + 0 + 25y2 + -12z + -12z2 = 20y + 5yz
20x + -25xy + 20xz + 25y2 + -12z + -12z2 = 20y + 5yz

Add '-25y2' to each side of the equation.
20x + -25xy + 20xz + 25y2 + -12z + -25y2 + -12z2 = 20y + 5yz + -25y2

Reorder the terms:
20x + -25xy + 20xz + 25y2 + -25y2 + -12z + -12z2 = 20y + 5yz + -25y2

Combine like terms: 25y2 + -25y2 = 0
20x + -25xy + 20xz + 0 + -12z + -12z2 = 20y + 5yz + -25y2
20x + -25xy + 20xz + -12z + -12z2 = 20y + 5yz + -25y2

Add '12z' to each side of the equation.
20x + -25xy + 20xz + -12z + 12z + -12z2 = 20y + 5yz + -25y2 + 12z

Combine like terms: -12z + 12z = 0
20x + -25xy + 20xz + 0 + -12z2 = 20y + 5yz + -25y2 + 12z
20x + -25xy + 20xz + -12z2 = 20y + 5yz + -25y2 + 12z

Add '12z2' to each side of the equation.
20x + -25xy + 20xz + -12z2 + 12z2 = 20y + 5yz + -25y2 + 12z + 12z2

Combine like terms: -12z2 + 12z2 = 0
20x + -25xy + 20xz + 0 = 20y + 5yz + -25y2 + 12z + 12z2
20x + -25xy + 20xz = 20y + 5yz + -25y2 + 12z + 12z2

Reorder the terms:
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 20y + -20y + 5yz + -5yz + -25y2 + 25y2 + 12z + -12z + 12z2 + -12z2

Combine like terms: 20y + -20y = 0
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0 + 5yz + -5yz + -25y2 + 25y2 + 12z + -12z + 12z2 + -12z2
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 5yz + -5yz + -25y2 + 25y2 + 12z + -12z + 12z2 + -12z2

Combine like terms: 5yz + -5yz = 0
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0 + -25y2 + 25y2 + 12z + -12z + 12z2 + -12z2
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = -25y2 + 25y2 + 12z + -12z + 12z2 + -12z2

Combine like terms: -25y2 + 25y2 = 0
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0 + 12z + -12z + 12z2 + -12z2
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 12z + -12z + 12z2 + -12z2

Combine like terms: 12z + -12z = 0
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0 + 12z2 + -12z2
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 12z2 + -12z2

Combine like terms: 12z2 + -12z2 = 0
20x + -25xy + 20xz + -20y + -5yz + 25y2 + -12z + -12z2 = 0

The solution to this equation could not be determined.

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