4y^2-9z^2=0

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Solution for 4y^2-9z^2=0 equation: 


Simplifying
4y2 + -9z2 = 0

Solving
4y2 + -9z2 = 0

Solving for variable 'y'.

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

Add '9z2' to each side of the equation.
4y2 + -9z2 + 9z2 = 0 + 9z2

Combine like terms: -9z2 + 9z2 = 0
4y2 + 0 = 0 + 9z2
4y2 = 0 + 9z2
Remove the zero:
4y2 = 9z2

Divide each side by '4'.
y2 = 2.25z2

Simplifying
y2 = 2.25z2

Take the square root of each side:
y = {-1.5z, 1.5z}

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