20t^2-13t=15

Solution for 20t^2-13t=15 equation:

Simplifying
20t2 + -13t = 15

Reorder the terms:
-13t + 20t2 = 15

Solving
-13t + 20t2 = 15

Solving for variable 't'.

Reorder the terms:
-15 + -13t + 20t2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -13t + 20t2 = 0

Factor a trinomial.
(-3 + -5t)(5 + -4t) = 0

Subproblem 1
Set the factor '(-3 + -5t)' equal to zero and attempt to solve:

Simplifying
-3 + -5t = 0

Solving
-3 + -5t = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5t = 0 + 3
-5t = 0 + 3

Combine like terms: 0 + 3 = 3
-5t = 3

Divide each side by '-5'.
t = -0.6

Simplifying
t = -0.6
Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25
Solution
t = {-0.6, 1.25}