(z-2y+2)*(y-2x+3)=

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Solution for (z-2y+2)*(y-2x+3)= equation:


Simplifying
(z + -2y + 2)(y + -2x + 3) = 0

Reorder the terms:
(2 + -2y + z)(y + -2x + 3) = 0

Reorder the terms:
(2 + -2y + z)(3 + -2x + y) = 0

Multiply (2 + -2y + z) * (3 + -2x + y)
(2(3 + -2x + y) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0
((3 * 2 + -2x * 2 + y * 2) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0
((6 + -4x + 2y) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0
(6 + -4x + 2y + (3 * -2y + -2x * -2y + y * -2y) + z(3 + -2x + y)) = 0

Reorder the terms:
(6 + -4x + 2y + (4xy + -6y + -2y2) + z(3 + -2x + y)) = 0
(6 + -4x + 2y + (4xy + -6y + -2y2) + z(3 + -2x + y)) = 0
(6 + -4x + 2y + 4xy + -6y + -2y2 + (3 * z + -2x * z + y * z)) = 0

Reorder the terms:
(6 + -4x + 2y + 4xy + -6y + -2y2 + (-2xz + yz + 3z)) = 0
(6 + -4x + 2y + 4xy + -6y + -2y2 + (-2xz + yz + 3z)) = 0

Reorder the terms:
(6 + -4x + 4xy + -2xz + 2y + -6y + yz + -2y2 + 3z) = 0

Combine like terms: 2y + -6y = -4y
(6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z) = 0

Solving
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + -6 + 3z = 0 + -6

Reorder the terms:
6 + -6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6
-4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6

Combine like terms: 0 + -6 = -6
-4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6

Add '4y' to each side of the equation.
-4x + 4xy + -2xz + -4y + yz + -2y2 + 4y + 3z = -6 + 4y

Reorder the terms:
-4x + 4xy + -2xz + -4y + 4y + yz + -2y2 + 3z = -6 + 4y

Combine like terms: -4y + 4y = 0
-4x + 4xy + -2xz + 0 + yz + -2y2 + 3z = -6 + 4y
-4x + 4xy + -2xz + yz + -2y2 + 3z = -6 + 4y

Add '-1yz' to each side of the equation.
-4x + 4xy + -2xz + yz + -2y2 + -1yz + 3z = -6 + 4y + -1yz

Reorder the terms:
-4x + 4xy + -2xz + yz + -1yz + -2y2 + 3z = -6 + 4y + -1yz

Combine like terms: yz + -1yz = 0
-4x + 4xy + -2xz + 0 + -2y2 + 3z = -6 + 4y + -1yz
-4x + 4xy + -2xz + -2y2 + 3z = -6 + 4y + -1yz

Add '2y2' to each side of the equation.
-4x + 4xy + -2xz + -2y2 + 2y2 + 3z = -6 + 4y + -1yz + 2y2

Combine like terms: -2y2 + 2y2 = 0
-4x + 4xy + -2xz + 0 + 3z = -6 + 4y + -1yz + 2y2
-4x + 4xy + -2xz + 3z = -6 + 4y + -1yz + 2y2

Add '-3z' to each side of the equation.
-4x + 4xy + -2xz + 3z + -3z = -6 + 4y + -1yz + 2y2 + -3z

Combine like terms: 3z + -3z = 0
-4x + 4xy + -2xz + 0 = -6 + 4y + -1yz + 2y2 + -3z
-4x + 4xy + -2xz = -6 + 4y + -1yz + 2y2 + -3z

Reorder the terms:
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6 + 4y + -1yz + 2y2 + -3z + 6 + -4y + yz + -2y2 + 3z

Reorder the terms:
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6 + 6 + 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z

Combine like terms: -6 + 6 = 0
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z

Combine like terms: 4y + -4y = 0
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -1yz + yz + 2y2 + -2y2 + -3z + 3z
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -1yz + yz + 2y2 + -2y2 + -3z + 3z

Combine like terms: -1yz + yz = 0
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + 2y2 + -2y2 + -3z + 3z
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 2y2 + -2y2 + -3z + 3z

Combine like terms: 2y2 + -2y2 = 0
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -3z + 3z
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0

The solution to this equation could not be determined.

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