176t-16t^2=160

Solution for 176t-16t^2=160 equation:

Simplifying
176t + -16t2 = 160

Solving
176t + -16t2 = 160

Solving for variable 't'.

Reorder the terms:
-160 + 176t + -16t2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + 176t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-10 + 11t + -1t2) = 0

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

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

Simplifying
-10 + t = 0

Solving
-10 + t = 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 + t = 0 + 10

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

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

Simplifying
t = 10
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 = {10, 1}