(3x+4)(x-1)=-6

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Solution for (3x+4)(x-1)=-6 equation: 


Simplifying
(3x + 4)(x + -1) = -6

Reorder the terms:
(4 + 3x)(x + -1) = -6

Reorder the terms:
(4 + 3x)(-1 + x) = -6

Multiply (4 + 3x) * (-1 + x)
(4(-1 + x) + 3x * (-1 + x)) = -6
((-1 * 4 + x * 4) + 3x * (-1 + x)) = -6
((-4 + 4x) + 3x * (-1 + x)) = -6
(-4 + 4x + (-1 * 3x + x * 3x)) = -6
(-4 + 4x + (-3x + 3x2)) = -6

Combine like terms: 4x + -3x = 1x
(-4 + 1x + 3x2) = -6

Solving
-4 + 1x + 3x2 = -6

Solving for variable 'x'.

Reorder the terms:
-4 + 6 + 1x + 3x2 = -6 + 6

Combine like terms: -4 + 6 = 2
2 + 1x + 3x2 = -6 + 6

Combine like terms: -6 + 6 = 0
2 + 1x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.3333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.6666666667
0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.3333333333x + x2 = -0.6666666667

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 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + 0.3333333333x + x2 = -0.63888888891

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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