2k(3k+5)=0

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Solution for 2k(3k+5)=0 equation:


Simplifying
2k(3k + 5) = 0

Reorder the terms:
2k(5 + 3k) = 0
(5 * 2k + 3k * 2k) = 0
(10k + 6k2) = 0

Solving
10k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k'.
2k(5 + 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 '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667

Solution

k = {0, -1.666666667}

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