7k^2+57k+56=0

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Solution for 7k^2+57k+56=0 equation: 


Simplifying
7k2 + 57k + 56 = 0

Reorder the terms:
56 + 57k + 7k2 = 0

Solving
56 + 57k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(7 + k)(8 + 7k) = 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 '(8 + 7k)' equal to zero and attempt to solve:

Simplifying
8 + 7k = 0

Solving
8 + 7k = 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 + 7k = 0 + -8

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

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

Divide each side by '7'.
k = -1.142857143

Simplifying
k = -1.142857143
Solution
k = {-7, -1.142857143}

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