t=2t^2-14t+1373

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

Simplifying
t = 2t2 + -14t + 1373

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

Solving
t = 1373 + -14t + 2t2

Solving for variable 't'.

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

Combine like terms: t + 14t = 15t
-1373 + 15t + -2t2 = 1373 + -14t + 2t2 + -1373 + 14t + -2t2

Reorder the terms:
-1373 + 15t + -2t2 = 1373 + -1373 + -14t + 14t + 2t2 + -2t2

Combine like terms: 1373 + -1373 = 0
-1373 + 15t + -2t2 = 0 + -14t + 14t + 2t2 + -2t2
-1373 + 15t + -2t2 = -14t + 14t + 2t2 + -2t2

Combine like terms: -14t + 14t = 0
-1373 + 15t + -2t2 = 0 + 2t2 + -2t2
-1373 + 15t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
-1373 + 15t + -2t2 = 0

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

Divide each side by '-2'.
686.5 + -7.5t + t2 = 0

Move the constant term to the right:

Add '-686.5' to each side of the equation.
686.5 + -7.5t + -686.5 + t2 = 0 + -686.5

Reorder the terms:
686.5 + -686.5 + -7.5t + t2 = 0 + -686.5

Combine like terms: 686.5 + -686.5 = 0.0
0.0 + -7.5t + t2 = 0 + -686.5
-7.5t + t2 = 0 + -686.5

Combine like terms: 0 + -686.5 = -686.5
-7.5t + t2 = -686.5

The t term is -7.5t.  Take half its coefficient (-3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
-7.5t + 14.0625 + t2 = -686.5 + 14.0625

Reorder the terms:
14.0625 + -7.5t + t2 = -686.5 + 14.0625

Combine like terms: -686.5 + 14.0625 = -672.4375
14.0625 + -7.5t + t2 = -672.4375

Factor a perfect square on the left side:
(t + -3.75)(t + -3.75) = -672.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.