32-17t-15t^2=0

Solution for 32-17t-15t^2=0 equation:

Simplifying
32 + -17t + -15t2 = 0

Solving
32 + -17t + -15t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(32 + 15t) = 0

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 '(32 + 15t)' equal to zero and attempt to solve:

Simplifying
32 + 15t = 0

Solving
32 + 15t = 0

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

Add '-32' to each side of the equation.
32 + -32 + 15t = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 15t = 0 + -32
15t = 0 + -32

Combine like terms: 0 + -32 = -32
15t = -32

Divide each side by '15'.
t = -2.133333333

Simplifying
t = -2.133333333
Solution
t = {1, -2.133333333}