7x^2+6=209

Solution for 7x^2+6=209 equation:

Simplifying
7x2 + 6 = 209

Reorder the terms:
6 + 7x2 = 209

Solving
6 + 7x2 = 209

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x2 = 209 + -6

Combine like terms: 6 + -6 = 0
0 + 7x2 = 209 + -6
7x2 = 209 + -6

Combine like terms: 209 + -6 = 203
7x2 = 203

Divide each side by '7'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}