0=t^2-t+43

Solution for 0=t^2-t+43 equation:

Simplifying
0 = t2 + -1t + 43

Reorder the terms:
0 = 43 + -1t + t2

Solving
0 = 43 + -1t + t2

Solving for variable 't'.

Combine like terms: 0 + -43 = -43
-43 + t + -1t2 = 43 + -1t + t2 + -43 + t + -1t2

Reorder the terms:
-43 + t + -1t2 = 43 + -43 + -1t + t + t2 + -1t2

Combine like terms: 43 + -43 = 0
-43 + t + -1t2 = 0 + -1t + t + t2 + -1t2
-43 + t + -1t2 = -1t + t + t2 + -1t2

Combine like terms: -1t + t = 0
-43 + t + -1t2 = 0 + t2 + -1t2
-43 + t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-43 + t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
43 + -1t + t2 = 0

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -1t + -43 + t2 = 0 + -43

Reorder the terms:
43 + -43 + -1t + t2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -1t + t2 = 0 + -43
-1t + t2 = 0 + -43

Combine like terms: 0 + -43 = -43
-1t + t2 = -43

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -43 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -43 + 0.25

Combine like terms: -43 + 0.25 = -42.75
0.25 + -1t + t2 = -42.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -42.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.