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 = -56
-2x2 = -56

Divide each side by '-2'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}