-16t^2+48t=48

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

Simplifying
-16t2 + 48t = 48

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

Solving
48t + -16t2 = 48

Solving for variable 't'.

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

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

Factor out the Greatest Common Factor (GCF), '16'.
16(-3 + 3t + -1t2) = 0

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

Simplifying
-3 + 3t + -1t2 = 0

Solving
-3 + 3t + -1t2 = 0

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

Divide each side by '-1'.
3 + -3t + t2 = 0

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.