-((3k+2)(3k+2))=0

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


Simplifying
-1((3k + 2)(3k + 2)) = 0

Reorder the terms:
-1((2 + 3k)(3k + 2)) = 0

Reorder the terms:
-1((2 + 3k)(2 + 3k)) = 0

Multiply (2 + 3k) * (2 + 3k)
-1((2(2 + 3k) + 3k * (2 + 3k))) = 0
-1(((2 * 2 + 3k * 2) + 3k * (2 + 3k))) = 0
-1(((4 + 6k) + 3k * (2 + 3k))) = 0
-1((4 + 6k + (2 * 3k + 3k * 3k))) = 0
-1((4 + 6k + (6k + 9k2))) = 0

Combine like terms: 6k + 6k = 12k
-1((4 + 12k + 9k2)) = 0
(4 * -1 + 12k * -1 + 9k2 * -1) = 0
(-4 + -12k + -9k2) = 0

Solving
-4 + -12k + -9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 12k + 9k2) = 0

Factor a trinomial.
-1((2 + 3k)(2 + 3k)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667

Subproblem 2

Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667

Solution

k = {-0.6666666667, -0.6666666667}

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