2x^2+20x+50=3x+5

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Solution for 2x^2+20x+50=3x+5 equation: 


Simplifying
2x2 + 20x + 50 = 3x + 5

Reorder the terms:
50 + 20x + 2x2 = 3x + 5

Reorder the terms:
50 + 20x + 2x2 = 5 + 3x

Solving
50 + 20x + 2x2 = 5 + 3x

Solving for variable 'x'.

Reorder the terms:
50 + -5 + 20x + -3x + 2x2 = 5 + 3x + -5 + -3x

Combine like terms: 50 + -5 = 45
45 + 20x + -3x + 2x2 = 5 + 3x + -5 + -3x

Combine like terms: 20x + -3x = 17x
45 + 17x + 2x2 = 5 + 3x + -5 + -3x

Reorder the terms:
45 + 17x + 2x2 = 5 + -5 + 3x + -3x

Combine like terms: 5 + -5 = 0
45 + 17x + 2x2 = 0 + 3x + -3x
45 + 17x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
45 + 17x + 2x2 = 0

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

Divide each side by '2'.
22.5 + 8.5x + x2 = 0

Move the constant term to the right:

Add '-22.5' to each side of the equation.
22.5 + 8.5x + -22.5 + x2 = 0 + -22.5

Reorder the terms:
22.5 + -22.5 + 8.5x + x2 = 0 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 8.5x + x2 = 0 + -22.5
8.5x + x2 = 0 + -22.5

Combine like terms: 0 + -22.5 = -22.5
8.5x + x2 = -22.5

The x term is 8.5x.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5x + 18.0625 + x2 = -22.5 + 18.0625

Reorder the terms:
18.0625 + 8.5x + x2 = -22.5 + 18.0625

Combine like terms: -22.5 + 18.0625 = -4.4375
18.0625 + 8.5x + x2 = -4.4375

Factor a perfect square on the left side:
(x + 4.25)(x + 4.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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