96=-160t^2+112t

Solution for 96=-160t^2+112t equation:

Simplifying
96 = -160t2 + 112t

Reorder the terms:
96 = 112t + -160t2

Solving
96 = 112t + -160t2

Solving for variable 't'.

Reorder the terms:
96 + -112t + 160t2 = 112t + -112t + -160t2 + 160t2

Combine like terms: 112t + -112t = 0
96 + -112t + 160t2 = 0 + -160t2 + 160t2
96 + -112t + 160t2 = -160t2 + 160t2

Combine like terms: -160t2 + 160t2 = 0
96 + -112t + 160t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(6 + -7t + 10t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(6 + -7t + 10t2)' equal to zero and attempt to solve:

Simplifying
6 + -7t + 10t2 = 0

Solving
6 + -7t + 10t2 = 0

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

Divide each side by '10'.
0.6 + -0.7t + t2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.7t + -0.6 + t2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.7t + t2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.7t + t2 = 0.0 + -0.6
-0.7t + t2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
-0.7t + t2 = -0.6

The t term is -0.7t.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7t + 0.1225 + t2 = -0.6 + 0.1225

Reorder the terms:
0.1225 + -0.7t + t2 = -0.6 + 0.1225

Combine like terms: -0.6 + 0.1225 = -0.4775
0.1225 + -0.7t + t2 = -0.4775

Factor a perfect square on the left side:
(t + -0.35)(t + -0.35) = -0.4775

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.