-16t^2+160t=144

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

Simplifying
-16t2 + 160t = 144

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

Solving
160t + -16t2 = 144

Solving for variable 't'.

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

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

Factor out the Greatest Common Factor (GCF), '16'.
16(-9 + 10t + -1t2) = 0

Factor a trinomial.
16((-9 + t)(1 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-9 + t)' equal to zero and attempt to solve:

Simplifying
-9 + t = 0

Solving
-9 + t = 0

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

Add '9' to each side of the equation.
-9 + 9 + t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + t = 0 + 9
t = 0 + 9

Combine like terms: 0 + 9 = 9
t = 9

Simplifying
t = 9
Subproblem 2
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
Solution
t = {9, 1}