k^2+2k-45=3

Solution for k^2+2k-45=3 equation:

Simplifying
k2 + 2k + -45 = 3

Reorder the terms:
-45 + 2k + k2 = 3

Solving
-45 + 2k + k2 = 3

Solving for variable 'k'.

Reorder the terms:
-45 + -3 + 2k + k2 = 3 + -3

Combine like terms: -45 + -3 = -48
-48 + 2k + k2 = 3 + -3

Combine like terms: 3 + -3 = 0
-48 + 2k + k2 = 0

Factor a trinomial.
(-8 + -1k)(6 + -1k) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-8, 6}