t^2-18t+96=0

Solution for t^2-18t+96=0 equation:

Simplifying
t2 + -18t + 96 = 0

Reorder the terms:
96 + -18t + t2 = 0

Solving
96 + -18t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + -18t + -96 + t2 = 0 + -96

Reorder the terms:
96 + -96 + -18t + t2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -18t + t2 = 0 + -96
-18t + t2 = 0 + -96

Combine like terms: 0 + -96 = -96
-18t + t2 = -96

The t term is -18t.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18t + 81 + t2 = -96 + 81

Reorder the terms:
81 + -18t + t2 = -96 + 81

Combine like terms: -96 + 81 = -15
81 + -18t + t2 = -15

Factor a perfect square on the left side:
(t + -9)(t + -9) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.