k^2-4=-3k

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Solution for k^2-4=-3k equation:


Simplifying
k2 + -4 = -3k

Reorder the terms:
-4 + k2 = -3k

Solving
-4 + k2 = -3k

Solving for variable 'k'.

Reorder the terms:
-4 + 3k + k2 = -3k + 3k

Combine like terms: -3k + 3k = 0
-4 + 3k + k2 = 0

Factor a trinomial.
(-4 + -1k)(1 + -1k) = 0

Subproblem 1

Set the factor '(-4 + -1k)' equal to zero and attempt to solve: Simplifying -4 + -1k = 0 Solving -4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 0 + 4 -1k = 0 + 4 Combine like terms: 0 + 4 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4

Subproblem 2

Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1

Solution

k = {-4, 1}

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