=(0.5x+y-0.2z)(0.5x+y-0.2z)

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Solution for =(0.5x+y-0.2z)(0.5x+y-0.2z) equation: 


Simplifying
0 = (0.5x + y + -0.2z)(0.5x + y + -0.2z)

Multiply (0.5x + y + -0.2z) * (0.5x + y + -0.2z)
0 = (0.5x * (0.5x + y + -0.2z) + y(0.5x + y + -0.2z) + -0.2z * (0.5x + y + -0.2z))
0 = ((0.5x * 0.5x + y * 0.5x + -0.2z * 0.5x) + y(0.5x + y + -0.2z) + -0.2z * (0.5x + y + -0.2z))

Reorder the terms:
0 = ((0.5xy + -0.1xz + 0.25x2) + y(0.5x + y + -0.2z) + -0.2z * (0.5x + y + -0.2z))
0 = ((0.5xy + -0.1xz + 0.25x2) + y(0.5x + y + -0.2z) + -0.2z * (0.5x + y + -0.2z))
0 = (0.5xy + -0.1xz + 0.25x2 + (0.5x * y + y * y + -0.2z * y) + -0.2z * (0.5x + y + -0.2z))

Reorder the terms:
0 = (0.5xy + -0.1xz + 0.25x2 + (0.5xy + -0.2yz + y2) + -0.2z * (0.5x + y + -0.2z))
0 = (0.5xy + -0.1xz + 0.25x2 + (0.5xy + -0.2yz + y2) + -0.2z * (0.5x + y + -0.2z))
0 = (0.5xy + -0.1xz + 0.25x2 + 0.5xy + -0.2yz + y2 + (0.5x * -0.2z + y * -0.2z + -0.2z * -0.2z))
0 = (0.5xy + -0.1xz + 0.25x2 + 0.5xy + -0.2yz + y2 + (-0.1xz + -0.2yz + 0.04z2))

Reorder the terms:
0 = (0.5xy + 0.5xy + -0.1xz + -0.1xz + 0.25x2 + -0.2yz + -0.2yz + y2 + 0.04z2)

Combine like terms: 0.5xy + 0.5xy = 1xy
0 = (1xy + -0.1xz + -0.1xz + 0.25x2 + -0.2yz + -0.2yz + y2 + 0.04z2)

Combine like terms: -0.1xz + -0.1xz = -0.2xz
0 = (1xy + -0.2xz + 0.25x2 + -0.2yz + -0.2yz + y2 + 0.04z2)

Combine like terms: -0.2yz + -0.2yz = -0.4yz
0 = (1xy + -0.2xz + 0.25x2 + -0.4yz + y2 + 0.04z2)

Solving
0 = 1xy + -0.2xz + 0.25x2 + -0.4yz + y2 + 0.04z2

Solving for variable 'x'.
Remove the zero:
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 1xy + -0.2xz + 0.25x2 + -0.4yz + y2 + 0.04z2 + -1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2

Reorder the terms:
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 1xy + -1xy + -0.2xz + 0.2xz + 0.25x2 + -0.25x2 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2

Combine like terms: 1xy + -1xy = 0
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0 + -0.2xz + 0.2xz + 0.25x2 + -0.25x2 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = -0.2xz + 0.2xz + 0.25x2 + -0.25x2 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2

Combine like terms: -0.2xz + 0.2xz = 0.0
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.0 + 0.25x2 + -0.25x2 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.25x2 + -0.25x2 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.00 + -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = -0.4yz + 0.4yz + y2 + -1y2 + 0.04z2 + -0.04z2

Combine like terms: -0.4yz + 0.4yz = 0.0
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.0 + y2 + -1y2 + 0.04z2 + -0.04z2
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = y2 + -1y2 + 0.04z2 + -0.04z2

Combine like terms: y2 + -1y2 = 0
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0 + 0.04z2 + -0.04z2
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.04z2 + -0.04z2

Combine like terms: 0.04z2 + -0.04z2 = 0.00
-1xy + 0.2xz + -0.25x2 + 0.4yz + -1y2 + -0.04z2 = 0.00

The solution to this equation could not be determined.

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