3x^2=-4x-16

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Solution for 3x^2=-4x-16 equation: 


Simplifying
3x2 = -4x + -16

Reorder the terms:
3x2 = -16 + -4x

Solving
3x2 = -16 + -4x

Solving for variable 'x'.

Reorder the terms:
16 + 4x + 3x2 = -16 + -4x + 16 + 4x

Reorder the terms:
16 + 4x + 3x2 = -16 + 16 + -4x + 4x

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

Combine like terms: -4x + 4x = 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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