6x^2-25x+80=0

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Solution for 6x^2-25x+80=0 equation: 


Simplifying
6x2 + -25x + 80 = 0

Reorder the terms:
80 + -25x + 6x2 = 0

Solving
80 + -25x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
13.33333333 + -4.166666667x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -4.166666667x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -4.166666667x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -4.166666667x + x2 = 0 + -13.33333333
-4.166666667x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-4.166666667x + x2 = -13.33333333

The x term is -4.166666667x.  Take half its coefficient (-2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
-4.166666667x + 4.340277781 + x2 = -13.33333333 + 4.340277781

Reorder the terms:
4.340277781 + -4.166666667x + x2 = -13.33333333 + 4.340277781

Combine like terms: -13.33333333 + 4.340277781 = -8.993055549
4.340277781 + -4.166666667x + x2 = -8.993055549

Factor a perfect square on the left side:
(x + -2.083333334)(x + -2.083333334) = -8.993055549

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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