3x^2-4x=-110

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Solution for 3x^2-4x=-110 equation: 


Simplifying
3x2 + -4x = -110

Reorder the terms:
-4x + 3x2 = -110

Solving
-4x + 3x2 = -110

Solving for variable 'x'.

Reorder the terms:
110 + -4x + 3x2 = -110 + 110

Combine like terms: -110 + 110 = 0
110 + -4x + 3x2 = 0

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

Divide each side by '3'.
36.66666667 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-36.66666667' to each side of the equation.
36.66666667 + -1.333333333x + -36.66666667 + x2 = 0 + -36.66666667

Reorder the terms:
36.66666667 + -36.66666667 + -1.333333333x + x2 = 0 + -36.66666667

Combine like terms: 36.66666667 + -36.66666667 = 0.00000000
0.00000000 + -1.333333333x + x2 = 0 + -36.66666667
-1.333333333x + x2 = 0 + -36.66666667

Combine like terms: 0 + -36.66666667 = -36.66666667
-1.333333333x + x2 = -36.66666667

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 = -36.66666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -36.66666667 + 0.4444444442

Combine like terms: -36.66666667 + 0.4444444442 = -36.2222222258
0.4444444442 + -1.333333333x + x2 = -36.2222222258

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -36.2222222258

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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