(-6k-4)(6k+8)=0

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Solution for (-6k-4)(6k+8)=0 equation: 


Simplifying
(-6k + -4)(6k + 8) = 0

Reorder the terms:
(-4 + -6k)(6k + 8) = 0

Reorder the terms:
(-4 + -6k)(8 + 6k) = 0

Multiply (-4 + -6k) * (8 + 6k)
(-4(8 + 6k) + -6k * (8 + 6k)) = 0
((8 * -4 + 6k * -4) + -6k * (8 + 6k)) = 0
((-32 + -24k) + -6k * (8 + 6k)) = 0
(-32 + -24k + (8 * -6k + 6k * -6k)) = 0
(-32 + -24k + (-48k + -36k2)) = 0

Combine like terms: -24k + -48k = -72k
(-32 + -72k + -36k2) = 0

Solving
-32 + -72k + -36k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(8 + 18k + 9k2) = 0

Factor a trinomial.
-4((4 + 3k)(2 + 3k)) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(4 + 3k)' equal to zero and attempt to solve:

Simplifying
4 + 3k = 0

Solving
4 + 3k = 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 + 3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3k = 0 + -4
3k = 0 + -4

Combine like terms: 0 + -4 = -4
3k = -4

Divide each side by '3'.
k = -1.333333333

Simplifying
k = -1.333333333

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

Simplifying
2 + 3k = 0

Solving
2 + 3k = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3k = 0 + -2
3k = 0 + -2

Combine like terms: 0 + -2 = -2
3k = -2

Divide each side by '3'.
k = -0.6666666667

Simplifying
k = -0.6666666667
Solution
k = {-1.333333333, -0.6666666667}

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