x^2+16z^2-4y^2+16=0

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Solution for x^2+16z^2-4y^2+16=0 equation:


Simplifying
x2 + 16z2 + -4y2 + 16 = 0

Reorder the terms:
16 + x2 + -4y2 + 16z2 = 0

Solving
16 + x2 + -4y2 + 16z2 = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + x2 + -4y2 + -16 + 16z2 = 0 + -16

Reorder the terms:
16 + -16 + x2 + -4y2 + 16z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x2 + -4y2 + 16z2 = 0 + -16
x2 + -4y2 + 16z2 = 0 + -16

Combine like terms: 0 + -16 = -16
x2 + -4y2 + 16z2 = -16

Add '4y2' to each side of the equation.
x2 + -4y2 + 4y2 + 16z2 = -16 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x2 + 0 + 16z2 = -16 + 4y2
x2 + 16z2 = -16 + 4y2

Add '-16z2' to each side of the equation.
x2 + 16z2 + -16z2 = -16 + 4y2 + -16z2

Combine like terms: 16z2 + -16z2 = 0
x2 + 0 = -16 + 4y2 + -16z2
x2 = -16 + 4y2 + -16z2

Simplifying
x2 = -16 + 4y2 + -16z2

Reorder the terms:
16 + x2 + -4y2 + 16z2 = -16 + 4y2 + -16z2 + 16 + -4y2 + 16z2

Reorder the terms:
16 + x2 + -4y2 + 16z2 = -16 + 16 + 4y2 + -4y2 + -16z2 + 16z2

Combine like terms: -16 + 16 = 0
16 + x2 + -4y2 + 16z2 = 0 + 4y2 + -4y2 + -16z2 + 16z2
16 + x2 + -4y2 + 16z2 = 4y2 + -4y2 + -16z2 + 16z2

Combine like terms: 4y2 + -4y2 = 0
16 + x2 + -4y2 + 16z2 = 0 + -16z2 + 16z2
16 + x2 + -4y2 + 16z2 = -16z2 + 16z2

Combine like terms: -16z2 + 16z2 = 0
16 + x2 + -4y2 + 16z2 = 0

The solution to this equation could not be determined.

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