=3x^2-11x+28

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Solution for =3x^2-11x+28 equation: 


Simplifying
0 = 3x2 + -11x + 28

Reorder the terms:
0 = 28 + -11x + 3x2

Solving
0 = 28 + -11x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -28 = -28
-28 + 11x + -3x2 = 28 + -11x + 3x2 + -28 + 11x + -3x2

Reorder the terms:
-28 + 11x + -3x2 = 28 + -28 + -11x + 11x + 3x2 + -3x2

Combine like terms: 28 + -28 = 0
-28 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
-28 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
-28 + 11x + -3x2 = 0 + 3x2 + -3x2
-28 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + 11x + -3x2 = 0

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

Divide each side by '-3'.
9.333333333 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -3.666666667x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -3.666666667x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -3.666666667x + x2 = 0 + -9.333333333
-3.666666667x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-3.666666667x + x2 = -9.333333333

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -9.333333333 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -9.333333333 + 3.361111114

Combine like terms: -9.333333333 + 3.361111114 = -5.972222219
3.361111114 + -3.666666667x + x2 = -5.972222219

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -5.972222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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