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

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


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

Multiply (X + -4y + 4z) * (-5x + 4y + -5z)
(X(-5x + 4y + -5z) + -4y * (-5x + 4y + -5z) + 4z * (-5x + 4y + -5z)) = 0
((-5x * X + 4y * X + -5z * X) + -4y * (-5x + 4y + -5z) + 4z * (-5x + 4y + -5z)) = 0
((-5xX + 4yX + -5zX) + -4y * (-5x + 4y + -5z) + 4z * (-5x + 4y + -5z)) = 0
(-5xX + 4yX + -5zX + (-5x * -4y + 4y * -4y + -5z * -4y) + 4z * (-5x + 4y + -5z)) = 0

Reorder the terms:
(-5xX + 4yX + -5zX + (20xy + 20yz + -16y2) + 4z * (-5x + 4y + -5z)) = 0
(-5xX + 4yX + -5zX + (20xy + 20yz + -16y2) + 4z * (-5x + 4y + -5z)) = 0
(-5xX + 4yX + -5zX + 20xy + 20yz + -16y2 + (-5x * 4z + 4y * 4z + -5z * 4z)) = 0
(-5xX + 4yX + -5zX + 20xy + 20yz + -16y2 + (-20xz + 16yz + -20z2)) = 0

Reorder the terms:
(-5xX + 20xy + -20xz + 4yX + 20yz + 16yz + -16y2 + -5zX + -20z2) = 0

Combine like terms: 20yz + 16yz = 36yz
(-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2) = 0

Solving
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0

Solving for variable 'x'.

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

Add '-4yX' to each side of the equation.
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -4yX + -20z2 = 0 + -4yX

Reorder the terms:
-5xX + 20xy + -20xz + 4yX + -4yX + 36yz + -16y2 + -5zX + -20z2 = 0 + -4yX

Combine like terms: 4yX + -4yX = 0
-5xX + 20xy + -20xz + 0 + 36yz + -16y2 + -5zX + -20z2 = 0 + -4yX
-5xX + 20xy + -20xz + 36yz + -16y2 + -5zX + -20z2 = 0 + -4yX
Remove the zero:
-5xX + 20xy + -20xz + 36yz + -16y2 + -5zX + -20z2 = -4yX

Add '-36yz' to each side of the equation.
-5xX + 20xy + -20xz + 36yz + -16y2 + -5zX + -36yz + -20z2 = -4yX + -36yz

Reorder the terms:
-5xX + 20xy + -20xz + 36yz + -36yz + -16y2 + -5zX + -20z2 = -4yX + -36yz

Combine like terms: 36yz + -36yz = 0
-5xX + 20xy + -20xz + 0 + -16y2 + -5zX + -20z2 = -4yX + -36yz
-5xX + 20xy + -20xz + -16y2 + -5zX + -20z2 = -4yX + -36yz

Add '16y2' to each side of the equation.
-5xX + 20xy + -20xz + -16y2 + -5zX + 16y2 + -20z2 = -4yX + -36yz + 16y2

Reorder the terms:
-5xX + 20xy + -20xz + -16y2 + 16y2 + -5zX + -20z2 = -4yX + -36yz + 16y2

Combine like terms: -16y2 + 16y2 = 0
-5xX + 20xy + -20xz + 0 + -5zX + -20z2 = -4yX + -36yz + 16y2
-5xX + 20xy + -20xz + -5zX + -20z2 = -4yX + -36yz + 16y2

Add '5zX' to each side of the equation.
-5xX + 20xy + -20xz + -5zX + 5zX + -20z2 = -4yX + -36yz + 16y2 + 5zX

Combine like terms: -5zX + 5zX = 0
-5xX + 20xy + -20xz + 0 + -20z2 = -4yX + -36yz + 16y2 + 5zX
-5xX + 20xy + -20xz + -20z2 = -4yX + -36yz + 16y2 + 5zX

Add '20z2' to each side of the equation.
-5xX + 20xy + -20xz + -20z2 + 20z2 = -4yX + -36yz + 16y2 + 5zX + 20z2

Combine like terms: -20z2 + 20z2 = 0
-5xX + 20xy + -20xz + 0 = -4yX + -36yz + 16y2 + 5zX + 20z2
-5xX + 20xy + -20xz = -4yX + -36yz + 16y2 + 5zX + 20z2

Reorder the terms:
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = -4yX + 4yX + -36yz + 36yz + 16y2 + -16y2 + 5zX + -5zX + 20z2 + -20z2

Combine like terms: -4yX + 4yX = 0
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0 + -36yz + 36yz + 16y2 + -16y2 + 5zX + -5zX + 20z2 + -20z2
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = -36yz + 36yz + 16y2 + -16y2 + 5zX + -5zX + 20z2 + -20z2

Combine like terms: -36yz + 36yz = 0
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0 + 16y2 + -16y2 + 5zX + -5zX + 20z2 + -20z2
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 16y2 + -16y2 + 5zX + -5zX + 20z2 + -20z2

Combine like terms: 16y2 + -16y2 = 0
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0 + 5zX + -5zX + 20z2 + -20z2
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 5zX + -5zX + 20z2 + -20z2

Combine like terms: 5zX + -5zX = 0
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0 + 20z2 + -20z2
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 20z2 + -20z2

Combine like terms: 20z2 + -20z2 = 0
-5xX + 20xy + -20xz + 4yX + 36yz + -16y2 + -5zX + -20z2 = 0

The solution to this equation could not be determined.

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