15t(t+2)=13t-4

Solution for 15t(t+2)=13t-4 equation:

Simplifying
15t(t + 2) = 13t + -4

Reorder the terms:
15t(2 + t) = 13t + -4
(2 * 15t + t * 15t) = 13t + -4
(30t + 15t2) = 13t + -4

Reorder the terms:
30t + 15t2 = -4 + 13t

Solving
30t + 15t2 = -4 + 13t

Solving for variable 't'.

Reorder the terms:
4 + 30t + -13t + 15t2 = -4 + 13t + 4 + -13t

Combine like terms: 30t + -13t = 17t
4 + 17t + 15t2 = -4 + 13t + 4 + -13t

Reorder the terms:
4 + 17t + 15t2 = -4 + 4 + 13t + -13t

Combine like terms: -4 + 4 = 0
4 + 17t + 15t2 = 0 + 13t + -13t
4 + 17t + 15t2 = 13t + -13t

Combine like terms: 13t + -13t = 0
4 + 17t + 15t2 = 0

Factor a trinomial.
(4 + 5t)(1 + 3t) = 0

Subproblem 1
Set the factor '(4 + 5t)' equal to zero and attempt to solve:

Simplifying
4 + 5t = 0

Solving
4 + 5t = 0

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

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

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

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

Divide each side by '5'.
t = -0.8

Simplifying
t = -0.8
Subproblem 2
Set the factor '(1 + 3t)' equal to zero and attempt to solve:

Simplifying
1 + 3t = 0

Solving
1 + 3t = 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 + 3t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3t = 0 + -1
3t = 0 + -1

Combine like terms: 0 + -1 = -1
3t = -1

Divide each side by '3'.
t = -0.3333333333

Simplifying
t = -0.3333333333
Solution
t = {-0.8, -0.3333333333}