3x^2=-4x-10

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Solution for 3x^2=-4x-10 equation: 


Simplifying
3x2 = -4x + -10

Reorder the terms:
3x2 = -10 + -4x

Solving
3x2 = -10 + -4x

Solving for variable 'x'.

Reorder the terms:
10 + 4x + 3x2 = -10 + -4x + 10 + 4x

Reorder the terms:
10 + 4x + 3x2 = -10 + 10 + -4x + 4x

Combine like terms: -10 + 10 = 0
10 + 4x + 3x2 = 0 + -4x + 4x
10 + 4x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 4x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 1.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -3.333333333
1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
1.333333333x + x2 = -3.333333333

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 = -3.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -3.333333333 + 0.4444444442

Combine like terms: -3.333333333 + 0.4444444442 = -2.8888888888
0.4444444442 + 1.333333333x + x2 = -2.8888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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