49x^2+1=5

Solution for 49x^2+1=5 equation:

Simplifying
49x2 + 1 = 5

Reorder the terms:
1 + 49x2 = 5

Solving
1 + 49x2 = 5

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 49x2 = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 49x2 = 5 + -1
49x2 = 5 + -1

Combine like terms: 5 + -1 = 4
49x2 = 4

Divide each side by '49'.
x2 = 0.08163265306

Simplifying
x2 = 0.08163265306

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