-3x(x+1)+4x=14

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Solution for -3x(x+1)+4x=14 equation: 


Simplifying
-3x(x + 1) + 4x = 14

Reorder the terms:
-3x(1 + x) + 4x = 14
(1 * -3x + x * -3x) + 4x = 14
(-3x + -3x2) + 4x = 14

Reorder the terms:
-3x + 4x + -3x2 = 14

Combine like terms: -3x + 4x = 1x
1x + -3x2 = 14

Solving
1x + -3x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + 1x + -3x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 1x + -3x2 = 0

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

Divide each side by '-3'.
4.666666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -0.3333333333x + -4.666666667 + x2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -0.3333333333x + x2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -4.666666667
-0.3333333333x + x2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-0.3333333333x + x2 = -4.666666667

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 = -4.666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -4.666666667 + 0.02777777779

Combine like terms: -4.666666667 + 0.02777777779 = -4.63888888921
0.02777777779 + -0.3333333333x + x2 = -4.63888888921

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -4.63888888921

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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