k^2-11k+32=8

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Solution for k^2-11k+32=8 equation:


Simplifying
k2 + -11k + 32 = 8

Reorder the terms:
32 + -11k + k2 = 8

Solving
32 + -11k + k2 = 8

Solving for variable 'k'.

Reorder the terms:
32 + -8 + -11k + k2 = 8 + -8

Combine like terms: 32 + -8 = 24
24 + -11k + k2 = 8 + -8

Combine like terms: 8 + -8 = 0
24 + -11k + k2 = 0

Factor a trinomial.
(3 + -1k)(8 + -1k) = 0

Subproblem 1

Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3

Subproblem 2

Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8

Solution

k = {3, 8}

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