49x^2-z^2=0

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

Simplifying
49x2 + -1z2 = 0

Solving
49x2 + -1z2 = 0

Solving for variable 'x'.

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

Add 'z2' to each side of the equation.
49x2 + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
49x2 + 0 = 0 + z2
49x2 = 0 + z2
Remove the zero:
49x2 = z2

Divide each side by '49'.
x2 = 0.02040816327z2

Simplifying
x2 = 0.02040816327z2

Take the square root of each side:
x = {-0.142857143z, 0.142857143z}