20t(t+2)=19t-4

Solution for 20t(t+2)=19t-4 equation:

Simplifying
20t(t + 2) = 19t + -4

Reorder the terms:
20t(2 + t) = 19t + -4
(2 * 20t + t * 20t) = 19t + -4
(40t + 20t2) = 19t + -4

Reorder the terms:
40t + 20t2 = -4 + 19t

Solving
40t + 20t2 = -4 + 19t

Solving for variable 't'.

Reorder the terms:
4 + 40t + -19t + 20t2 = -4 + 19t + 4 + -19t

Combine like terms: 40t + -19t = 21t
4 + 21t + 20t2 = -4 + 19t + 4 + -19t

Reorder the terms:
4 + 21t + 20t2 = -4 + 4 + 19t + -19t

Combine like terms: -4 + 4 = 0
4 + 21t + 20t2 = 0 + 19t + -19t
4 + 21t + 20t2 = 19t + -19t

Combine like terms: 19t + -19t = 0
4 + 21t + 20t2 = 0

Factor a trinomial.
(4 + 5t)(1 + 4t) = 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 + 4t)' equal to zero and attempt to solve:

Simplifying
1 + 4t = 0

Solving
1 + 4t = 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 + 4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4t = 0 + -1
4t = 0 + -1

Combine like terms: 0 + -1 = -1
4t = -1

Divide each side by '4'.
t = -0.25

Simplifying
t = -0.25
Solution
t = {-0.8, -0.25}