49x^2-14=-1

Solution for 49x^2-14=-1 equation:

Simplifying
49x2 + -14 = -1

Reorder the terms:
-14 + 49x2 = -1

Solving
-14 + 49x2 = -1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 49x2 = -1 + 14

Combine like terms: -14 + 14 = 0
0 + 49x2 = -1 + 14
49x2 = -1 + 14

Combine like terms: -1 + 14 = 13
49x2 = 13

Divide each side by '49'.
x2 = 0.2653061224

Simplifying
x2 = 0.2653061224

Take the square root of each side:
x = {-0.515078754, 0.515078754}