64=16k-k^2

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Solution for 64=16k-k^2 equation:


Simplifying
64 = 16k + -1k2

Solving
64 = 16k + -1k2

Solving for variable 'k'.

Reorder the terms:
64 + -16k + k2 = 16k + -16k + -1k2 + k2

Combine like terms: 16k + -16k = 0
64 + -16k + k2 = 0 + -1k2 + k2
64 + -16k + k2 = -1k2 + k2

Combine like terms: -1k2 + k2 = 0
64 + -16k + k2 = 0

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

Subproblem 1

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

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 = {8, 8}

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