0=49z^2-9

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

Simplifying
0 = 49z2 + -9

Reorder the terms:
0 = -9 + 49z2

Solving
0 = -9 + 49z2

Solving for variable 'z'.

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

Add '-49z2' to each side of the equation.
0 + -49z2 = -9 + 49z2 + -49z2
Remove the zero:
-49z2 = -9 + 49z2 + -49z2

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