(3x-2)(x+1)+10=0

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Solution for (3x-2)(x+1)+10=0 equation: 


Simplifying
(3x + -2)(x + 1) + 10 = 0

Reorder the terms:
(-2 + 3x)(x + 1) + 10 = 0

Reorder the terms:
(-2 + 3x)(1 + x) + 10 = 0

Multiply (-2 + 3x) * (1 + x)
(-2(1 + x) + 3x * (1 + x)) + 10 = 0
((1 * -2 + x * -2) + 3x * (1 + x)) + 10 = 0
((-2 + -2x) + 3x * (1 + x)) + 10 = 0
(-2 + -2x + (1 * 3x + x * 3x)) + 10 = 0
(-2 + -2x + (3x + 3x2)) + 10 = 0

Combine like terms: -2x + 3x = 1x
(-2 + 1x + 3x2) + 10 = 0

Reorder the terms:
-2 + 10 + 1x + 3x2 = 0

Combine like terms: -2 + 10 = 8
8 + 1x + 3x2 = 0

Solving
8 + 1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
2.666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 0.3333333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 0.3333333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 0.3333333333x + x2 = 0 + -2.666666667
0.3333333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
0.3333333333x + x2 = -2.666666667

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -2.666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -2.666666667 + 0.02777777779

Combine like terms: -2.666666667 + 0.02777777779 = -2.63888888921
0.02777777779 + 0.3333333333x + x2 = -2.63888888921

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -2.63888888921

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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