0=160+48t-16t^2

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Solution for 0=160+48t-16t^2 equation: 


Simplifying
0 = 160 + 48t + -16t2

Solving
0 = 160 + 48t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -160 = -160
-160 + -48t + 16t2 = 160 + 48t + -16t2 + -160 + -48t + 16t2

Reorder the terms:
-160 + -48t + 16t2 = 160 + -160 + 48t + -48t + -16t2 + 16t2

Combine like terms: 160 + -160 = 0
-160 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2
-160 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2

Combine like terms: 48t + -48t = 0
-160 + -48t + 16t2 = 0 + -16t2 + 16t2
-160 + -48t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-160 + -48t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-10 + -3t + t2) = 0

Factor a trinomial.
16((-2 + -1t)(5 + -1t)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-2 + -1t)' equal to zero and attempt to solve:

Simplifying
-2 + -1t = 0

Solving
-2 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 0 + 2
-1t = 0 + 2

Combine like terms: 0 + 2 = 2
-1t = 2

Divide each side by '-1'.
t = -2

Simplifying
t = -2

Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {-2, 5}

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