2x^2+x+20=(x+1)(x+1)

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Solution for 2x^2+x+20=(x+1)(x+1) equation: 


Simplifying
2x2 + x + 20 = (x + 1)(x + 1)

Reorder the terms:
20 + x + 2x2 = (x + 1)(x + 1)

Reorder the terms:
20 + x + 2x2 = (1 + x)(x + 1)

Reorder the terms:
20 + x + 2x2 = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
20 + x + 2x2 = (1(1 + x) + x(1 + x))
20 + x + 2x2 = ((1 * 1 + x * 1) + x(1 + x))
20 + x + 2x2 = ((1 + 1x) + x(1 + x))
20 + x + 2x2 = (1 + 1x + (1 * x + x * x))
20 + x + 2x2 = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
20 + x + 2x2 = (1 + 2x + x2)

Solving
20 + x + 2x2 = 1 + 2x + x2

Solving for variable 'x'.

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

Combine like terms: 20 + -1 = 19
19 + x + -2x + 2x2 + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Combine like terms: x + -2x = -1x
19 + -1x + 2x2 + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
19 + -1x + 1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Reorder the terms:
19 + -1x + 1x2 = 1 + -1 + 2x + -2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
19 + -1x + 1x2 = 0 + 2x + -2x + x2 + -1x2
19 + -1x + 1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
19 + -1x + 1x2 = 0 + x2 + -1x2
19 + -1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -1x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -1x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + -1x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x + x2 = 0 + -19
-1x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-1x + x2 = -19

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -19 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -19 + 0.25

Combine like terms: -19 + 0.25 = -18.75
0.25 + -1x + x2 = -18.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -18.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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