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.
(32 + -15t)(1 + t) = 0

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

Simplifying
1 + t = 0

Solving
1 + t = 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 + t = 0 + -1

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

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

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