15k^2-20=-55k

Solution for 15k^2-20=-55k equation:

Simplifying
15k2 + -20 = -55k

Reorder the terms:
-20 + 15k2 = -55k

Solving
-20 + 15k2 = -55k

Solving for variable 'k'.

Reorder the terms:
-20 + 55k + 15k2 = -55k + 55k

Combine like terms: -55k + 55k = 0
-20 + 55k + 15k2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 11k + 3k2) = 0

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

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

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 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 + -1k = 0 + 4

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

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

Divide each side by '-1'.
k = -4

Simplifying
k = -4
Subproblem 2
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3k = 0 + -1

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

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

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Solution
k = {-4, 0.3333333333}