112=-16t^2+48t+64

Solution for 112=-16t^2+48t+64 equation:

Simplifying
112 = -16t2 + 48t + 64

Reorder the terms:
112 = 64 + 48t + -16t2

Solving
112 = 64 + 48t + -16t2

Solving for variable 't'.

Combine like terms: 112 + -64 = 48
48 + -48t + 16t2 = 64 + 48t + -16t2 + -64 + -48t + 16t2

Reorder the terms:
48 + -48t + 16t2 = 64 + -64 + 48t + -48t + -16t2 + 16t2

Combine like terms: 64 + -64 = 0
48 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2
48 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2

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

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

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + -3t + t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + -3t + t2)' equal to zero and attempt to solve:

Simplifying
3 + -3t + t2 = 0

Solving
3 + -3t + t2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -3 + 2.25

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

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3t + t2 = -0.75

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -0.75

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.