k^2-13k+40=4

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Solution for k^2-13k+40=4 equation:


Simplifying
k2 + -13k + 40 = 4

Reorder the terms:
40 + -13k + k2 = 4

Solving
40 + -13k + k2 = 4

Solving for variable 'k'.

Reorder the terms:
40 + -4 + -13k + k2 = 4 + -4

Combine like terms: 40 + -4 = 36
36 + -13k + k2 = 4 + -4

Combine like terms: 4 + -4 = 0
36 + -13k + k2 = 0

Factor a trinomial.
(4 + -1k)(9 + -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 '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9

Solution

k = {4, 9}

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