20k(k+3)=19k-20

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Solution for 20k(k+3)=19k-20 equation: 


Simplifying
20k(k + 3) = 19k + -20

Reorder the terms:
20k(3 + k) = 19k + -20
(3 * 20k + k * 20k) = 19k + -20
(60k + 20k2) = 19k + -20

Reorder the terms:
60k + 20k2 = -20 + 19k

Solving
60k + 20k2 = -20 + 19k

Solving for variable 'k'.

Reorder the terms:
20 + 60k + -19k + 20k2 = -20 + 19k + 20 + -19k

Combine like terms: 60k + -19k = 41k
20 + 41k + 20k2 = -20 + 19k + 20 + -19k

Reorder the terms:
20 + 41k + 20k2 = -20 + 20 + 19k + -19k

Combine like terms: -20 + 20 = 0
20 + 41k + 20k2 = 0 + 19k + -19k
20 + 41k + 20k2 = 19k + -19k

Combine like terms: 19k + -19k = 0
20 + 41k + 20k2 = 0

Factor a trinomial.
(5 + 4k)(4 + 5k) = 0


Subproblem 1
Set the factor '(5 + 4k)' equal to zero and attempt to solve:

Simplifying
5 + 4k = 0

Solving
5 + 4k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4k = 0 + -5

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

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

Divide each side by '4'.
k = -1.25

Simplifying
k = -1.25

Subproblem 2
Set the factor '(4 + 5k)' equal to zero and attempt to solve:

Simplifying
4 + 5k = 0

Solving
4 + 5k = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5k = 0 + -4

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

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

Divide each side by '5'.
k = -0.8

Simplifying
k = -0.8
Solution
k = {-1.25, -0.8}

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