2x^2+20x+100=1

Solution for 2x^2+20x+100=1 equation:

Simplifying
2x2 + 20x + 100 = 1

Reorder the terms:
100 + 20x + 2x2 = 1

Solving
100 + 20x + 2x2 = 1

Solving for variable 'x'.

Reorder the terms:
100 + -1 + 20x + 2x2 = 1 + -1

Combine like terms: 100 + -1 = 99
99 + 20x + 2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
99 + 20x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
49.5 + 10x + x2 = 0

Move the constant term to the right:

Add '-49.5' to each side of the equation.
49.5 + 10x + -49.5 + x2 = 0 + -49.5

Reorder the terms:
49.5 + -49.5 + 10x + x2 = 0 + -49.5

Combine like terms: 49.5 + -49.5 = 0.0
0.0 + 10x + x2 = 0 + -49.5
10x + x2 = 0 + -49.5

Combine like terms: 0 + -49.5 = -49.5
10x + x2 = -49.5

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -49.5 + 25

Reorder the terms:
25 + 10x + x2 = -49.5 + 25

Combine like terms: -49.5 + 25 = -24.5
25 + 10x + x2 = -24.5

Factor a perfect square on the left side:
(x + 5)(x + 5) = -24.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.