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

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


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

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

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

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

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

Solving
-56 + 1k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -1k)(7 + -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 '(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 = {-8, 7}

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