49w^2-5=-1

Solution for 49w^2-5=-1 equation:

Simplifying
49w2 + -5 = -1

Reorder the terms:
-5 + 49w2 = -1

Solving
-5 + 49w2 = -1

Solving for variable 'w'.

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

Add '5' to each side of the equation.
-5 + 5 + 49w2 = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 49w2 = -1 + 5
49w2 = -1 + 5

Combine like terms: -1 + 5 = 4
49w2 = 4

Divide each side by '49'.
w2 = 0.08163265306

Simplifying
w2 = 0.08163265306

Take the square root of each side:
w = {-0.285714286, 0.285714286}