15x^2-79x+128=0

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Solution for 15x^2-79x+128=0 equation:


Simplifying
15x2 + -79x + 128 = 0

Reorder the terms:
128 + -79x + 15x2 = 0

Solving
128 + -79x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
8.533333333 + -5.266666667x + x2 = 0

Move the constant term to the right:

Add '-8.533333333' to each side of the equation.
8.533333333 + -5.266666667x + -8.533333333 + x2 = 0 + -8.533333333

Reorder the terms:
8.533333333 + -8.533333333 + -5.266666667x + x2 = 0 + -8.533333333

Combine like terms: 8.533333333 + -8.533333333 = 0.000000000
0.000000000 + -5.266666667x + x2 = 0 + -8.533333333
-5.266666667x + x2 = 0 + -8.533333333

Combine like terms: 0 + -8.533333333 = -8.533333333
-5.266666667x + x2 = -8.533333333

The x term is -5.266666667x.  Take half its coefficient (-2.633333334).
Square it (6.934444448) and add it to both sides.

Add '6.934444448' to each side of the equation.
-5.266666667x + 6.934444448 + x2 = -8.533333333 + 6.934444448

Reorder the terms:
6.934444448 + -5.266666667x + x2 = -8.533333333 + 6.934444448

Combine like terms: -8.533333333 + 6.934444448 = -1.598888885
6.934444448 + -5.266666667x + x2 = -1.598888885

Factor a perfect square on the left side:
(x + -2.633333334)(x + -2.633333334) = -1.598888885

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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