k^2-9k+15=7

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Solution for k^2-9k+15=7 equation: 


Simplifying
k2 + -9k + 15 = 7

Reorder the terms:
15 + -9k + k2 = 7

Solving
15 + -9k + k2 = 7

Solving for variable 'k'.

Reorder the terms:
15 + -7 + -9k + k2 = 7 + -7

Combine like terms: 15 + -7 = 8
8 + -9k + k2 = 7 + -7

Combine like terms: 7 + -7 = 0
8 + -9k + k2 = 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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