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

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


Simplifying
4x2z + -1y2z = 0

Solving
4x2z + -1y2z = 0

Solving for variable 'x'.

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

Add 'y2z' to each side of the equation.
4x2z + -1y2z + y2z = 0 + y2z

Combine like terms: -1y2z + y2z = 0
4x2z + 0 = 0 + y2z
4x2z = 0 + y2z
Remove the zero:
4x2z = y2z

Divide each side by '4z'.
x2 = 0.25y2

Simplifying
x2 = 0.25y2

Take the square root of each side:
x = {-0.5y, 0.5y}

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