2t^2-14t+1373=0

Solution for 2t^2-14t+1373=0 equation:

Simplifying
2t2 + -14t + 1373 = 0

Reorder the terms:
1373 + -14t + 2t2 = 0

Solving
1373 + -14t + 2t2 = 0

Solving for variable 't'.

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

Divide each side by '2'.
686.5 + -7t + t2 = 0

Move the constant term to the right:

Add '-686.5' to each side of the equation.
686.5 + -7t + -686.5 + t2 = 0 + -686.5

Reorder the terms:
686.5 + -686.5 + -7t + t2 = 0 + -686.5

Combine like terms: 686.5 + -686.5 = 0.0
0.0 + -7t + t2 = 0 + -686.5
-7t + t2 = 0 + -686.5

Combine like terms: 0 + -686.5 = -686.5
-7t + t2 = -686.5

The t term is -7t.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7t + 12.25 + t2 = -686.5 + 12.25

Reorder the terms:
12.25 + -7t + t2 = -686.5 + 12.25

Combine like terms: -686.5 + 12.25 = -674.25
12.25 + -7t + t2 = -674.25

Factor a perfect square on the left side:
(t + -3.5)(t + -3.5) = -674.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.