3x^2-4x+110=10

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Solution for 3x^2-4x+110=10 equation: 


Simplifying
3x2 + -4x + 110 = 10

Reorder the terms:
110 + -4x + 3x2 = 10

Solving
110 + -4x + 3x2 = 10

Solving for variable 'x'.

Reorder the terms:
110 + -10 + -4x + 3x2 = 10 + -10

Combine like terms: 110 + -10 = 100
100 + -4x + 3x2 = 10 + -10

Combine like terms: 10 + -10 = 0
100 + -4x + 3x2 = 0

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

Divide each side by '3'.
33.33333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-33.33333333' to each side of the equation.
33.33333333 + -1.333333333x + -33.33333333 + x2 = 0 + -33.33333333

Reorder the terms:
33.33333333 + -33.33333333 + -1.333333333x + x2 = 0 + -33.33333333

Combine like terms: 33.33333333 + -33.33333333 = 0.00000000
0.00000000 + -1.333333333x + x2 = 0 + -33.33333333
-1.333333333x + x2 = 0 + -33.33333333

Combine like terms: 0 + -33.33333333 = -33.33333333
-1.333333333x + x2 = -33.33333333

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 = -33.33333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -33.33333333 + 0.4444444442

Combine like terms: -33.33333333 + 0.4444444442 = -32.8888888858
0.4444444442 + -1.333333333x + x2 = -32.8888888858

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -32.8888888858

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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