3t^2-8t+20=0

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Solution for 3t^2-8t+20=0 equation: 


Simplifying
3t2 + -8t + 20 = 0

Reorder the terms:
20 + -8t + 3t2 = 0

Solving
20 + -8t + 3t2 = 0

Solving for variable 't'.

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

Divide each side by '3'.
6.666666667 + -2.666666667t + t2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -2.666666667t + -6.666666667 + t2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -2.666666667t + t2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -2.666666667t + t2 = 0 + -6.666666667
-2.666666667t + t2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-2.666666667t + t2 = -6.666666667

The t term is -2.666666667t.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667t + 1.777777780 + t2 = -6.666666667 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667t + t2 = -6.666666667 + 1.777777780

Combine like terms: -6.666666667 + 1.777777780 = -4.888888887
1.777777780 + -2.666666667t + t2 = -4.888888887

Factor a perfect square on the left side:
(t + -1.333333334)(t + -1.333333334) = -4.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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