4z^2-9=0

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


Simplifying
4z2 + -9 = 0

Reorder the terms:
-9 + 4z2 = 0

Solving
-9 + 4z2 = 0

Solving for variable 'z'.

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

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

Combine like terms: -9 + 9 = 0
0 + 4z2 = 0 + 9
4z2 = 0 + 9

Combine like terms: 0 + 9 = 9
4z2 = 9

Divide each side by '4'.
z2 = 2.25

Simplifying
z2 = 2.25

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

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