3x(x-2)+2(x+1)=-14

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Solution for 3x(x-2)+2(x+1)=-14 equation: 


Simplifying
3x(x + -2) + 2(x + 1) = -14

Reorder the terms:
3x(-2 + x) + 2(x + 1) = -14
(-2 * 3x + x * 3x) + 2(x + 1) = -14
(-6x + 3x2) + 2(x + 1) = -14

Reorder the terms:
-6x + 3x2 + 2(1 + x) = -14
-6x + 3x2 + (1 * 2 + x * 2) = -14
-6x + 3x2 + (2 + 2x) = -14

Reorder the terms:
2 + -6x + 2x + 3x2 = -14

Combine like terms: -6x + 2x = -4x
2 + -4x + 3x2 = -14

Solving
2 + -4x + 3x2 = -14

Solving for variable 'x'.

Reorder the terms:
2 + 14 + -4x + 3x2 = -14 + 14

Combine like terms: 2 + 14 = 16
16 + -4x + 3x2 = -14 + 14

Combine like terms: -14 + 14 = 0
16 + -4x + 3x2 = 0

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

Divide each side by '3'.
5.333333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -1.333333333x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -1.333333333x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -5.333333333
-1.333333333x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-1.333333333x + x2 = -5.333333333

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -5.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -5.333333333 + 0.4444444442

Combine like terms: -5.333333333 + 0.4444444442 = -4.8888888888
0.4444444442 + -1.333333333x + x2 = -4.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -4.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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