49z^2-169=0

Solution for 49z^2-169=0 equation:

Simplifying
49z2 + -169 = 0

Reorder the terms:
-169 + 49z2 = 0

Solving
-169 + 49z2 = 0

Solving for variable 'z'.

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

Add '169' to each side of the equation.
-169 + 169 + 49z2 = 0 + 169

Combine like terms: -169 + 169 = 0
0 + 49z2 = 0 + 169
49z2 = 0 + 169

Combine like terms: 0 + 169 = 169
49z2 = 169

Divide each side by '49'.
z2 = 3.448979592

Simplifying
z2 = 3.448979592

Take the square root of each side:
z = {-1.857142857, 1.857142857}