(k*k)+8k+7=0

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Solution for (k*k)+8k+7=0 equation: 


Simplifying
(k * k) + 8k + 7 = 0

Multiply k * k
(k2) + 8k + 7 = 0
k2 + 8k + 7 = 0

Reorder the terms:
7 + 8k + k2 = 0

Solving
7 + 8k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(7 + k)(1 + k) = 0


Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve:

Simplifying
7 + k = 0

Solving
7 + k = 0

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

Add '-7' to each side of the equation.
7 + -7 + k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + k = 0 + -7
k = 0 + -7

Combine like terms: 0 + -7 = -7
k = -7

Simplifying
k = -7

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

Simplifying
1 + k = 0

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

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

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

Simplifying
k = -1
Solution
k = {-7, -1}

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