k^2-6k-4=-4

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Solution for k^2-6k-4=-4 equation:


Simplifying
k2 + -6k + -4 = -4

Reorder the terms:
-4 + -6k + k2 = -4

Add '4' to each side of the equation.
-4 + -6k + 4 + k2 = -4 + 4

Reorder the terms:
-4 + 4 + -6k + k2 = -4 + 4

Combine like terms: -4 + 4 = 0
0 + -6k + k2 = -4 + 4
-6k + k2 = -4 + 4

Combine like terms: -4 + 4 = 0
-6k + k2 = 0

Solving
-6k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-6 + k) = 0

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 '(-6 + k)' equal to zero and attempt to solve: Simplifying -6 + k = 0 Solving -6 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + k = 0 + 6 k = 0 + 6 Combine like terms: 0 + 6 = 6 k = 6 Simplifying k = 6

Solution

k = {0, 6}

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