k^2-12k-13=0

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Solution for k^2-12k-13=0 equation:


Simplifying
k2 + -12k + -13 = 0

Reorder the terms:
-13 + -12k + k2 = 0

Solving
-13 + -12k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1 + -1k)(13 + -1k) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -1k)' equal to zero and attempt to solve: Simplifying 13 + -1k = 0 Solving 13 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 0 + -13 -1k = 0 + -13 Combine like terms: 0 + -13 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13

Solution

k = {-1, 13}

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