t^2-3t+54=0

Solution for t^2-3t+54=0 equation:

Simplifying
t2 + -3t + 54 = 0

Reorder the terms:
54 + -3t + t2 = 0

Solving
54 + -3t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -3t + -54 + t2 = 0 + -54

Reorder the terms:
54 + -54 + -3t + t2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -3t + t2 = 0 + -54
-3t + t2 = 0 + -54

Combine like terms: 0 + -54 = -54
-3t + t2 = -54

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = -54 + 2.25

Reorder the terms:
2.25 + -3t + t2 = -54 + 2.25

Combine like terms: -54 + 2.25 = -51.75
2.25 + -3t + t2 = -51.75

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.