xz^2+z^2-3zx+4z-70x+70=0

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Solution for xz^2+z^2-3zx+4z-70x+70=0 equation: 


Simplifying
xz2 + z2 + -3zx + 4z + -70x + 70 = 0

Reorder the terms:
70 + -70x + -3xz + xz2 + 4z + z2 = 0

Solving
70 + -70x + -3xz + xz2 + 4z + z2 = 0

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70x + -3xz + xz2 + 4z + -70 + z2 = 0 + -70

Reorder the terms:
70 + -70 + -70x + -3xz + xz2 + 4z + z2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -70x + -3xz + xz2 + 4z + z2 = 0 + -70
-70x + -3xz + xz2 + 4z + z2 = 0 + -70

Combine like terms: 0 + -70 = -70
-70x + -3xz + xz2 + 4z + z2 = -70

Add '-4z' to each side of the equation.
-70x + -3xz + xz2 + 4z + -4z + z2 = -70 + -4z

Combine like terms: 4z + -4z = 0
-70x + -3xz + xz2 + 0 + z2 = -70 + -4z
-70x + -3xz + xz2 + z2 = -70 + -4z

Add '-1z2' to each side of the equation.
-70x + -3xz + xz2 + z2 + -1z2 = -70 + -4z + -1z2

Combine like terms: z2 + -1z2 = 0
-70x + -3xz + xz2 + 0 = -70 + -4z + -1z2
-70x + -3xz + xz2 = -70 + -4z + -1z2

Reorder the terms:
70 + -70x + -3xz + xz2 + 4z + z2 = -70 + -4z + -1z2 + 70 + 4z + z2

Reorder the terms:
70 + -70x + -3xz + xz2 + 4z + z2 = -70 + 70 + -4z + 4z + -1z2 + z2

Combine like terms: -70 + 70 = 0
70 + -70x + -3xz + xz2 + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
70 + -70x + -3xz + xz2 + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
70 + -70x + -3xz + xz2 + 4z + z2 = 0 + -1z2 + z2
70 + -70x + -3xz + xz2 + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
70 + -70x + -3xz + xz2 + 4z + z2 = 0

The solution to this equation could not be determined.

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