0=-16t^2+144t+160

Solution for 0=-16t^2+144t+160 equation:

Simplifying
0 = -16t2 + 144t + 160

Reorder the terms:
0 = 160 + 144t + -16t2

Solving
0 = 160 + 144t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -160 = -160
-160 + -144t + 16t2 = 160 + 144t + -16t2 + -160 + -144t + 16t2

Reorder the terms:
-160 + -144t + 16t2 = 160 + -160 + 144t + -144t + -16t2 + 16t2

Combine like terms: 160 + -160 = 0
-160 + -144t + 16t2 = 0 + 144t + -144t + -16t2 + 16t2
-160 + -144t + 16t2 = 144t + -144t + -16t2 + 16t2

Combine like terms: 144t + -144t = 0
-160 + -144t + 16t2 = 0 + -16t2 + 16t2
-160 + -144t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-160 + -144t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-10 + -9t + t2) = 0

Factor a trinomial.
16((-1 + -1t)(10 + -1t)) = 0

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

Simplifying
-1 + -1t = 0

Solving
-1 + -1t = 0

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

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

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

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

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

Simplifying
t = -1
Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Solution
t = {-1, 10}