49z^2-9=0

Solution for 49z^2-9=0 equation:

Simplifying
49z2 + -9 = 0

Reorder the terms:
-9 + 49z2 = 0

Solving
-9 + 49z2 = 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 + 49z2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 49z2 = 0 + 9
49z2 = 0 + 9

Combine like terms: 0 + 9 = 9
49z2 = 9

Divide each side by '49'.
z2 = 0.1836734694

Simplifying
z2 = 0.1836734694

Take the square root of each side:
z = {-0.428571429, 0.428571429}