0=-16t^2+48t-238

Solution for 0=-16t^2+48t-238 equation:

Simplifying
0 = -16t2 + 48t + -238

Reorder the terms:
0 = -238 + 48t + -16t2

Solving
0 = -238 + 48t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 238 = 238
238 + -48t + 16t2 = -238 + 48t + -16t2 + 238 + -48t + 16t2

Reorder the terms:
238 + -48t + 16t2 = -238 + 238 + 48t + -48t + -16t2 + 16t2

Combine like terms: -238 + 238 = 0
238 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2
238 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2

Combine like terms: 48t + -48t = 0
238 + -48t + 16t2 = 0 + -16t2 + 16t2
238 + -48t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
238 + -48t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(119 + -24t + 8t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(119 + -24t + 8t2)' equal to zero and attempt to solve:

Simplifying
119 + -24t + 8t2 = 0

Solving
119 + -24t + 8t2 = 0

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

Divide each side by '8'.
14.875 + -3t + t2 = 0

Move the constant term to the right:

Add '-14.875' to each side of the equation.
14.875 + -3t + -14.875 + t2 = 0 + -14.875

Reorder the terms:
14.875 + -14.875 + -3t + t2 = 0 + -14.875

Combine like terms: 14.875 + -14.875 = 0.000
0.000 + -3t + t2 = 0 + -14.875
-3t + t2 = 0 + -14.875

Combine like terms: 0 + -14.875 = -14.875
-3t + t2 = -14.875

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 = -14.875 + 2.25

Reorder the terms:
2.25 + -3t + t2 = -14.875 + 2.25

Combine like terms: -14.875 + 2.25 = -12.625
2.25 + -3t + t2 = -12.625

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -12.625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.