8t^2-23t+15=0

Solution for 8t^2-23t+15=0 equation:

Simplifying
8t2 + -23t + 15 = 0

Reorder the terms:
15 + -23t + 8t2 = 0

Solving
15 + -23t + 8t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(15 + -8t) = 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 '(15 + -8t)' equal to zero and attempt to solve:

Simplifying
15 + -8t = 0

Solving
15 + -8t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -8t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8t = 0 + -15
-8t = 0 + -15

Combine like terms: 0 + -15 = -15
-8t = -15

Divide each side by '-8'.
t = 1.875

Simplifying
t = 1.875
Solution
t = {1, 1.875}