2x^2+2x+20=10x+9

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Solution for 2x^2+2x+20=10x+9 equation: 


Simplifying
2x2 + 2x + 20 = 10x + 9

Reorder the terms:
20 + 2x + 2x2 = 10x + 9

Reorder the terms:
20 + 2x + 2x2 = 9 + 10x

Solving
20 + 2x + 2x2 = 9 + 10x

Solving for variable 'x'.

Reorder the terms:
20 + -9 + 2x + -10x + 2x2 = 9 + 10x + -9 + -10x

Combine like terms: 20 + -9 = 11
11 + 2x + -10x + 2x2 = 9 + 10x + -9 + -10x

Combine like terms: 2x + -10x = -8x
11 + -8x + 2x2 = 9 + 10x + -9 + -10x

Reorder the terms:
11 + -8x + 2x2 = 9 + -9 + 10x + -10x

Combine like terms: 9 + -9 = 0
11 + -8x + 2x2 = 0 + 10x + -10x
11 + -8x + 2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
11 + -8x + 2x2 = 0

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

Divide each side by '2'.
5.5 + -4x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -4x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -4x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -4x + x2 = 0 + -5.5
-4x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-4x + x2 = -5.5

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -5.5 + 4

Reorder the terms:
4 + -4x + x2 = -5.5 + 4

Combine like terms: -5.5 + 4 = -1.5
4 + -4x + x2 = -1.5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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