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

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


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

Reorder the terms:
-3k + 8k(3 + 3k) = 0
-3k + (3 * 8k + 3k * 8k) = 0
-3k + (24k + 24k2) = 0

Combine like terms: -3k + 24k = 21k
21k + 24k2 = 0

Solving
21k + 24k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.
3k(7 + 8k) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(7 + 8k)' equal to zero and attempt to solve:

Simplifying
7 + 8k = 0

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

Combine like terms: 7 + -7 = 0
0 + 8k = 0 + -7
8k = 0 + -7

Combine like terms: 0 + -7 = -7
8k = -7

Divide each side by '8'.
k = -0.875

Simplifying
k = -0.875
Solution
k = {0, -0.875}

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