(9k-3)(2k+8)=

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Solution for (9k-3)(2k+8)= equation: 


Simplifying
(9k + -3)(2k + 8) = 0

Reorder the terms:
(-3 + 9k)(2k + 8) = 0

Reorder the terms:
(-3 + 9k)(8 + 2k) = 0

Multiply (-3 + 9k) * (8 + 2k)
(-3(8 + 2k) + 9k * (8 + 2k)) = 0
((8 * -3 + 2k * -3) + 9k * (8 + 2k)) = 0
((-24 + -6k) + 9k * (8 + 2k)) = 0
(-24 + -6k + (8 * 9k + 2k * 9k)) = 0
(-24 + -6k + (72k + 18k2)) = 0

Combine like terms: -6k + 72k = 66k
(-24 + 66k + 18k2) = 0

Solving
-24 + 66k + 18k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 11k + 3k2) = 0

Factor a trinomial.
6((-4 + -1k)(1 + -3k)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve:

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4

Subproblem 2
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 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 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Solution
k = {-4, 0.3333333333}

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