k^2+4k-77=0

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Solution for k^2+4k-77=0 equation: 


Simplifying
k2 + 4k + -77 = 0

Reorder the terms:
-77 + 4k + k2 = 0

Solving
-77 + 4k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-11 + -1k)(7 + -1k) = 0


Subproblem 1
Set the factor '(-11 + -1k)' equal to zero and attempt to solve:

Simplifying
-11 + -1k = 0

Solving
-11 + -1k = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1k = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1k = 0 + 11
-1k = 0 + 11

Combine like terms: 0 + 11 = 11
-1k = 11

Divide each side by '-1'.
k = -11

Simplifying
k = -11

Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 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 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {-11, 7}

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