a^2q^2-49=0

Solution for a^2q^2-49=0 equation:

Simplifying
a2q2 + -49 = 0

Reorder the terms:
-49 + a2q2 = 0

Solving
-49 + a2q2 = 0

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + a2q2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + a2q2 = 0 + 49
a2q2 = 0 + 49

Combine like terms: 0 + 49 = 49
a2q2 = 49

Divide each side by 'q2'.
a2 = 49q-2

Simplifying
a2 = 49q-2

Take the square root of each side:
a = {-7q-1, 7q-1}