(4x+7)+(3x^2)=0

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Solution for (4x+7)+(3x^2)=0 equation: 


Simplifying
(4x + 7) + (3x2) = 0

Reorder the terms:
(7 + 4x) + (3x2) = 0

Remove parenthesis around (7 + 4x)
7 + 4x + (3x2) = 0

Solving
7 + 4x + (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'.
2.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 1.333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 1.333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.333333333
1.333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
1.333333333x + x2 = -2.333333333

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 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + 1.333333333x + x2 = -1.8888888888

Factor a perfect square on the left side:
((x) + 0.6666666665)((x) + 0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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