3x^2+x=-5.7

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Solution for 3x^2+x=-5.7 equation:


Simplifying
3x2 + x = -5.7

Reorder the terms:
x + 3x2 = -5.7

Solving
x + 3x2 = -5.7

Solving for variable 'x'.

Reorder the terms:
5.7 + x + 3x2 = -5.7 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
5.7 + x + 3x2 = 0.0

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

Divide each side by '3'.
1.9 + 0.3333333333x + x2 = 0.0

Move the constant term to the right:

Add '-1.9' to each side of the equation.
1.9 + 0.3333333333x + -1.9 + x2 = 0.0 + -1.9

Reorder the terms:
1.9 + -1.9 + 0.3333333333x + x2 = 0.0 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 0.3333333333x + x2 = 0.0 + -1.9
0.3333333333x + x2 = 0.0 + -1.9

Combine like terms: 0.0 + -1.9 = -1.9
0.3333333333x + x2 = -1.9

The x term is x.  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.
0.3333333333x + 0.25 + x2 = -1.9 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = -1.9 + 0.25

Combine like terms: -1.9 + 0.25 = -1.65
0.25 + 0.3333333333x + x2 = -1.65

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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