ab+xy+vz^2=0

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Solution for ab+xy+vz^2=0 equation:


Simplifying
ab + xy + vz2 = 0

Reorder the terms:
ab + vz2 + xy = 0

Solving
ab + vz2 + xy = 0

Solving for variable 'a'.

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

Add '-1vz2' to each side of the equation.
ab + vz2 + -1vz2 + xy = 0 + -1vz2

Combine like terms: vz2 + -1vz2 = 0
ab + 0 + xy = 0 + -1vz2
ab + xy = 0 + -1vz2
Remove the zero:
ab + xy = -1vz2

Add '-1xy' to each side of the equation.
ab + xy + -1xy = -1vz2 + -1xy

Combine like terms: xy + -1xy = 0
ab + 0 = -1vz2 + -1xy
ab = -1vz2 + -1xy

Divide each side by 'b'.
a = -1b-1vz2 + -1b-1xy

Simplifying
a = -1b-1vz2 + -1b-1xy

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