5k(3k-3)+6k(1-6k)=

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Solution for 5k(3k-3)+6k(1-6k)= equation:


Simplifying
5k(3k + -3) + 6k(1 + -6k) = 0

Reorder the terms:
5k(-3 + 3k) + 6k(1 + -6k) = 0
(-3 * 5k + 3k * 5k) + 6k(1 + -6k) = 0
(-15k + 15k2) + 6k(1 + -6k) = 0
-15k + 15k2 + (1 * 6k + -6k * 6k) = 0
-15k + 15k2 + (6k + -36k2) = 0

Reorder the terms:
-15k + 6k + 15k2 + -36k2 = 0

Combine like terms: -15k + 6k = -9k
-9k + 15k2 + -36k2 = 0

Combine like terms: 15k2 + -36k2 = -21k2
-9k + -21k2 = 0

Solving
-9k + -21k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-3k'.
-3k(3 + 7k) = 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 '(3 + 7k)' equal to zero and attempt to solve: Simplifying 3 + 7k = 0 Solving 3 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7k = 0 + -3 7k = 0 + -3 Combine like terms: 0 + -3 = -3 7k = -3 Divide each side by '7'. k = -0.4285714286 Simplifying k = -0.4285714286

Solution

k = {0, -0.4285714286}

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