(-7k-8)(-3k+8)=

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Solution for (-7k-8)(-3k+8)= equation: 


Simplifying
(-7k + -8)(-3k + 8) = 0

Reorder the terms:
(-8 + -7k)(-3k + 8) = 0

Reorder the terms:
(-8 + -7k)(8 + -3k) = 0

Multiply (-8 + -7k) * (8 + -3k)
(-8(8 + -3k) + -7k * (8 + -3k)) = 0
((8 * -8 + -3k * -8) + -7k * (8 + -3k)) = 0
((-64 + 24k) + -7k * (8 + -3k)) = 0
(-64 + 24k + (8 * -7k + -3k * -7k)) = 0
(-64 + 24k + (-56k + 21k2)) = 0

Combine like terms: 24k + -56k = -32k
(-64 + -32k + 21k2) = 0

Solving
-64 + -32k + 21k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -7k)(8 + -3k) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3k)' equal to zero and attempt to solve:

Simplifying
8 + -3k = 0

Solving
8 + -3k = 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 + -3k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3k = 0 + -8
-3k = 0 + -8

Combine like terms: 0 + -8 = -8
-3k = -8

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667
Solution
k = {-1.142857143, 2.666666667}

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