49x^2+1=17

Solution for 49x^2+1=17 equation:

Simplifying
49x2 + 1 = 17

Reorder the terms:
1 + 49x2 = 17

Solving
1 + 49x2 = 17

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 = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 49x2 = 17 + -1
49x2 = 17 + -1

Combine like terms: 17 + -1 = 16
49x2 = 16

Divide each side by '49'.
x2 = 0.3265306122

Simplifying
x2 = 0.3265306122

Take the square root of each side:
x = {-0.571428571, 0.571428571}