6k^2+11k=4k+20

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Solution for 6k^2+11k=4k+20 equation: 


Simplifying
6k2 + 11k = 4k + 20

Reorder the terms:
11k + 6k2 = 4k + 20

Reorder the terms:
11k + 6k2 = 20 + 4k

Solving
11k + 6k2 = 20 + 4k

Solving for variable 'k'.

Reorder the terms:
-20 + 11k + -4k + 6k2 = 20 + 4k + -20 + -4k

Combine like terms: 11k + -4k = 7k
-20 + 7k + 6k2 = 20 + 4k + -20 + -4k

Reorder the terms:
-20 + 7k + 6k2 = 20 + -20 + 4k + -4k

Combine like terms: 20 + -20 = 0
-20 + 7k + 6k2 = 0 + 4k + -4k
-20 + 7k + 6k2 = 4k + -4k

Combine like terms: 4k + -4k = 0
-20 + 7k + 6k2 = 0

Factor a trinomial.
(-5 + -2k)(4 + -3k) = 0


Subproblem 1
Set the factor '(-5 + -2k)' equal to zero and attempt to solve:

Simplifying
-5 + -2k = 0

Solving
-5 + -2k = 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 + -2k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2k = 0 + 5
-2k = 0 + 5

Combine like terms: 0 + 5 = 5
-2k = 5

Divide each side by '-2'.
k = -2.5

Simplifying
k = -2.5

Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 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 + -3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 0 + -4
-3k = 0 + -4

Combine like terms: 0 + -4 = -4
-3k = -4

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Solution
k = {-2.5, 1.333333333}

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