55=x*2x+1

Solution for 55=x*2x+1 equation:

Simplifying
55 = x * 2x + 1

Reorder the terms for easier multiplication:
55 = 2x * x + 1

Multiply x * x
55 = 2x2 + 1

Reorder the terms:
55 = 1 + 2x2

Solving
55 = 1 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
55 + -2x2 = 1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
55 + -2x2 = 1 + 0
55 + -2x2 = 1

Add '-55' to each side of the equation.
55 + -55 + -2x2 = 1 + -55

Combine like terms: 55 + -55 = 0
0 + -2x2 = 1 + -55
-2x2 = 1 + -55

Combine like terms: 1 + -55 = -54
-2x2 = -54

Divide each side by '-2'.
x2 = 27

Simplifying
x2 = 27

Take the square root of each side:
x = {-5.196152423, 5.196152423}