-4k^2-15k+8=-5k^2-6k

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Solution for -4k^2-15k+8=-5k^2-6k equation: 


Simplifying
-4k2 + -15k + 8 = -5k2 + -6k

Reorder the terms:
8 + -15k + -4k2 = -5k2 + -6k

Reorder the terms:
8 + -15k + -4k2 = -6k + -5k2

Solving
8 + -15k + -4k2 = -6k + -5k2

Solving for variable 'k'.

Reorder the terms:
8 + -15k + 6k + -4k2 + 5k2 = -6k + -5k2 + 6k + 5k2

Combine like terms: -15k + 6k = -9k
8 + -9k + -4k2 + 5k2 = -6k + -5k2 + 6k + 5k2

Combine like terms: -4k2 + 5k2 = 1k2
8 + -9k + 1k2 = -6k + -5k2 + 6k + 5k2

Reorder the terms:
8 + -9k + 1k2 = -6k + 6k + -5k2 + 5k2

Combine like terms: -6k + 6k = 0
8 + -9k + 1k2 = 0 + -5k2 + 5k2
8 + -9k + 1k2 = -5k2 + 5k2

Combine like terms: -5k2 + 5k2 = 0
8 + -9k + 1k2 = 0

Factor a trinomial.
(1 + -1k)(8 + -1k) = 0


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

Simplifying
1 + -1k = 0

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

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

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

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

Simplifying
k = 1

Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {1, 8}

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