y^2-z^2-x^2-2xyq=-2xz

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Solution for y^2-z^2-x^2-2xyq=-2xz equation:


Simplifying
y2 + -1z2 + -1x2 + -2xyq = -2xz

Reorder the terms:
-2qxy + -1x2 + y2 + -1z2 = -2xz

Solving
-2qxy + -1x2 + y2 + -1z2 = -2xz

Solving for variable 'q'.

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

Add 'x2' to each side of the equation.
-2qxy + -1x2 + y2 + x2 + -1z2 = -2xz + x2

Reorder the terms:
-2qxy + -1x2 + x2 + y2 + -1z2 = -2xz + x2

Combine like terms: -1x2 + x2 = 0
-2qxy + 0 + y2 + -1z2 = -2xz + x2
-2qxy + y2 + -1z2 = -2xz + x2

Add '-1y2' to each side of the equation.
-2qxy + y2 + -1y2 + -1z2 = -2xz + x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2qxy + 0 + -1z2 = -2xz + x2 + -1y2
-2qxy + -1z2 = -2xz + x2 + -1y2

Add 'z2' to each side of the equation.
-2qxy + -1z2 + z2 = -2xz + x2 + -1y2 + z2

Combine like terms: -1z2 + z2 = 0
-2qxy + 0 = -2xz + x2 + -1y2 + z2
-2qxy = -2xz + x2 + -1y2 + z2

Divide each side by '-2xy'.
q = y-1z + -0.5xy-1 + 0.5x-1y + -0.5x-1y-1z2

Simplifying
q = y-1z + -0.5xy-1 + 0.5x-1y + -0.5x-1y-1z2

Reorder the terms:
q = -0.5x-1y-1z2 + 0.5x-1y + -0.5xy-1 + y-1z

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