49z^2-361=0

Solution for 49z^2-361=0 equation:

Simplifying
49z2 + -361 = 0

Reorder the terms:
-361 + 49z2 = 0

Solving
-361 + 49z2 = 0

Solving for variable 'z'.

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

Add '361' to each side of the equation.
-361 + 361 + 49z2 = 0 + 361

Combine like terms: -361 + 361 = 0
0 + 49z2 = 0 + 361
49z2 = 0 + 361

Combine like terms: 0 + 361 = 361
49z2 = 361

Divide each side by '49'.
z2 = 7.367346939

Simplifying
z2 = 7.367346939

Take the square root of each side:
z = {-2.714285714, 2.714285714}