2k(3r+5k-9)=

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Solution for 2k(3r+5k-9)= equation:


Simplifying
2k(3r + 5k + -9) = 0

Reorder the terms:
2k(-9 + 5k + 3r) = 0
(-9 * 2k + 5k * 2k + 3r * 2k) = 0

Reorder the terms:
(-18k + 6kr + 10k2) = 0
(-18k + 6kr + 10k2) = 0

Solving
-18k + 6kr + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k'.
2k(-9 + 3r + 5k) = 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 '(-9 + 3r + 5k)' equal to zero and attempt to solve: Simplifying -9 + 3r + 5k = 0 Reorder the terms: -9 + 5k + 3r = 0 Solving -9 + 5k + 3r = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 5k + 9 + 3r = 0 + 9 Reorder the terms: -9 + 9 + 5k + 3r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5k + 3r = 0 + 9 5k + 3r = 0 + 9 Combine like terms: 0 + 9 = 9 5k + 3r = 9 Add '-3r' to each side of the equation. 5k + 3r + -3r = 9 + -3r Combine like terms: 3r + -3r = 0 5k + 0 = 9 + -3r 5k = 9 + -3r Divide each side by '5'. k = 1.8 + -0.6r Simplifying k = 1.8 + -0.6r

Solution

k = {0, 1.8 + -0.6r}

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