x*2x+1=666

Solution for x*2x+1=666 equation:

Simplifying
x * 2x + 1 = 666

Reorder the terms for easier multiplication:
2x * x + 1 = 666

Multiply x * x
2x2 + 1 = 666

Reorder the terms:
1 + 2x2 = 666

Solving
1 + 2x2 = 666

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 + 2x2 = 666 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 666 + -1
2x2 = 666 + -1

Combine like terms: 666 + -1 = 665
2x2 = 665

Divide each side by '2'.
x2 = 332.5

Simplifying
x2 = 332.5

Take the square root of each side:
x = {-18.234582529, 18.234582529}