3a^2-11a+14=0

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Solution for 3a^2-11a+14=0 equation: 


Simplifying
3a2 + -11a + 14 = 0

Reorder the terms:
14 + -11a + 3a2 = 0

Solving
14 + -11a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
4.666666667 + -3.666666667a + a2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -3.666666667a + -4.666666667 + a2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -3.666666667a + a2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -3.666666667a + a2 = 0 + -4.666666667
-3.666666667a + a2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-3.666666667a + a2 = -4.666666667

The a term is -3.666666667a.  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.
-3.666666667a + 3.361111114 + a2 = -4.666666667 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667a + a2 = -4.666666667 + 3.361111114

Combine like terms: -4.666666667 + 3.361111114 = -1.305555553
3.361111114 + -3.666666667a + a2 = -1.305555553

Factor a perfect square on the left side:
(a + -1.833333334)(a + -1.833333334) = -1.305555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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