5z^3-4xz^2-3z^3+12z^2x-z^2=

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Solution for 5z^3-4xz^2-3z^3+12z^2x-z^2= equation: 


Simplifying
5z3 + -4xz2 + -3z3 + 12z2x + -1z2 = 0

Reorder the terms:
-4xz2 + 12xz2 + -1z2 + 5z3 + -3z3 = 0

Combine like terms: -4xz2 + 12xz2 = 8xz2
8xz2 + -1z2 + 5z3 + -3z3 = 0

Combine like terms: 5z3 + -3z3 = 2z3
8xz2 + -1z2 + 2z3 = 0

Solving
8xz2 + -1z2 + 2z3 = 0

Solving for variable 'x'.

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

Add 'z2' to each side of the equation.
8xz2 + -1z2 + z2 + 2z3 = 0 + z2

Combine like terms: -1z2 + z2 = 0
8xz2 + 0 + 2z3 = 0 + z2
8xz2 + 2z3 = 0 + z2
Remove the zero:
8xz2 + 2z3 = z2

Add '-2z3' to each side of the equation.
8xz2 + 2z3 + -2z3 = z2 + -2z3

Combine like terms: 2z3 + -2z3 = 0
8xz2 + 0 = z2 + -2z3
8xz2 = z2 + -2z3

Divide each side by '8z2'.
x = 0.125 + -0.25z

Simplifying
x = 0.125 + -0.25z

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