3x^2-13x=-19

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Solution for 3x^2-13x=-19 equation:


Simplifying
3x2 + -13x = -19

Reorder the terms:
-13x + 3x2 = -19

Solving
-13x + 3x2 = -19

Solving for variable 'x'.

Reorder the terms:
19 + -13x + 3x2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + -13x + 3x2 = 0

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

Divide each side by '3'.
6.333333333 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.333333333' to each side of the equation.
6.333333333 + -4.333333333x + -6.333333333 + x2 = 0 + -6.333333333

Reorder the terms:
6.333333333 + -6.333333333 + -4.333333333x + x2 = 0 + -6.333333333

Combine like terms: 6.333333333 + -6.333333333 = 0.000000000
0.000000000 + -4.333333333x + x2 = 0 + -6.333333333
-4.333333333x + x2 = 0 + -6.333333333

Combine like terms: 0 + -6.333333333 = -6.333333333
-4.333333333x + x2 = -6.333333333

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -6.333333333 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -6.333333333 + 4.694444446

Combine like terms: -6.333333333 + 4.694444446 = -1.638888887
4.694444446 + -4.333333333x + x2 = -1.638888887

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -1.638888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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