6k^2+16k=0

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Solution for 6k^2+16k=0 equation:


Simplifying
6k2 + 16k = 0

Reorder the terms:
16k + 6k2 = 0

Solving
16k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k'.
2k(8 + 3k) = 0

Ignore the factor 2.

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 '(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 = {0, -2.666666667}

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