3x^2+2x+1=5x-9

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Solution for 3x^2+2x+1=5x-9 equation: 


Simplifying
3x2 + 2x + 1 = 5x + -9

Reorder the terms:
1 + 2x + 3x2 = 5x + -9

Reorder the terms:
1 + 2x + 3x2 = -9 + 5x

Solving
1 + 2x + 3x2 = -9 + 5x

Solving for variable 'x'.

Reorder the terms:
1 + 9 + 2x + -5x + 3x2 = -9 + 5x + 9 + -5x

Combine like terms: 1 + 9 = 10
10 + 2x + -5x + 3x2 = -9 + 5x + 9 + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x + 3x2 = -9 + 5x + 9 + -5x

Reorder the terms:
10 + -3x + 3x2 = -9 + 9 + 5x + -5x

Combine like terms: -9 + 9 = 0
10 + -3x + 3x2 = 0 + 5x + -5x
10 + -3x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -1x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -1x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -1x + x2 = 0 + -3.333333333
-1x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-1x + x2 = -3.333333333

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 = -3.333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -3.333333333 + 0.25

Combine like terms: -3.333333333 + 0.25 = -3.083333333
0.25 + -1x + x2 = -3.083333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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