16t^2+9t-25=0

Solution for 16t^2+9t-25=0 equation:

Simplifying
16t2 + 9t + -25 = 0

Reorder the terms:
-25 + 9t + 16t2 = 0

Solving
-25 + 9t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-25 + -16t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-25 + -16t)' equal to zero and attempt to solve:

Simplifying
-25 + -16t = 0

Solving
-25 + -16t = 0

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

Add '25' to each side of the equation.
-25 + 25 + -16t = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -16t = 0 + 25
-16t = 0 + 25

Combine like terms: 0 + 25 = 25
-16t = 25

Divide each side by '-16'.
t = -1.5625

Simplifying
t = -1.5625
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 = {-1.5625, 1}