3x^2+2x+5=-51

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Solution for 3x^2+2x+5=-51 equation: 


Simplifying
3x2 + 2x + 5 = -51

Reorder the terms:
5 + 2x + 3x2 = -51

Solving
5 + 2x + 3x2 = -51

Solving for variable 'x'.

Reorder the terms:
5 + 51 + 2x + 3x2 = -51 + 51

Combine like terms: 5 + 51 = 56
56 + 2x + 3x2 = -51 + 51

Combine like terms: -51 + 51 = 0
56 + 2x + 3x2 = 0

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

Divide each side by '3'.
18.66666667 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-18.66666667' to each side of the equation.
18.66666667 + 0.6666666667x + -18.66666667 + x2 = 0 + -18.66666667

Reorder the terms:
18.66666667 + -18.66666667 + 0.6666666667x + x2 = 0 + -18.66666667

Combine like terms: 18.66666667 + -18.66666667 = 0.00000000
0.00000000 + 0.6666666667x + x2 = 0 + -18.66666667
0.6666666667x + x2 = 0 + -18.66666667

Combine like terms: 0 + -18.66666667 = -18.66666667
0.6666666667x + x2 = -18.66666667

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -18.66666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -18.66666667 + 0.1111111112

Combine like terms: -18.66666667 + 0.1111111112 = -18.5555555588
0.1111111112 + 0.6666666667x + x2 = -18.5555555588

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -18.5555555588

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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