49x^2-14+1=0

Solution for 49x^2-14+1=0 equation:

Simplifying
49x2 + -14 + 1 = 0

Reorder the terms:
-14 + 1 + 49x2 = 0

Combine like terms: -14 + 1 = -13
-13 + 49x2 = 0

Solving
-13 + 49x2 = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 49x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 49x2 = 0 + 13
49x2 = 0 + 13

Combine like terms: 0 + 13 = 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}