(k-8)(7k+1)=0factor

Solution for (k-8)(7k+1)=0factor equation:

Simplifying
(k + -8)(7k + 1) = 0factor

Reorder the terms:
(-8 + k)(7k + 1) = 0factor

Reorder the terms:
(-8 + k)(1 + 7k) = 0factor

Multiply (-8 + k) * (1 + 7k)
(-8(1 + 7k) + k(1 + 7k)) = 0factor
((1 * -8 + 7k * -8) + k(1 + 7k)) = 0factor
((-8 + -56k) + k(1 + 7k)) = 0factor
(-8 + -56k + (1 * k + 7k * k)) = 0factor
(-8 + -56k + (1k + 7k2)) = 0factor

Combine like terms: -56k + 1k = -55k
(-8 + -55k + 7k2) = 0factor

Anything times zero is zero.
-8 + -55k + 7k2 = 0acfort

Solving
-8 + -55k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1 + -7k)(8 + -1k) = 0

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

Simplifying
-1 + -7k = 0

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

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

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

Divide each side by '-7'.
k = -0.1428571429

Simplifying
k = -0.1428571429
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 = {-0.1428571429, 8}