49z^2-16=0

Solution for 49z^2-16=0 equation:

Simplifying
49z2 + -16 = 0

Reorder the terms:
-16 + 49z2 = 0

Solving
-16 + 49z2 = 0

Solving for variable 'z'.

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

Add '16' to each side of the equation.
-16 + 16 + 49z2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 49z2 = 0 + 16
49z2 = 0 + 16

Combine like terms: 0 + 16 = 16
49z2 = 16

Divide each side by '49'.
z2 = 0.3265306122

Simplifying
z2 = 0.3265306122

Take the square root of each side:
z = {-0.571428571, 0.571428571}