3k^2+16=16k

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Solution for 3k^2+16=16k equation:


Simplifying
3k2 + 16 = 16k

Reorder the terms:
16 + 3k2 = 16k

Solving
16 + 3k2 = 16k

Solving for variable 'k'.

Reorder the terms:
16 + -16k + 3k2 = 16k + -16k

Combine like terms: 16k + -16k = 0
16 + -16k + 3k2 = 0

Factor a trinomial.
(4 + -3k)(4 + -1k) = 0

Subproblem 1

Set the factor '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 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 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333

Subproblem 2

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

Solution

k = {1.333333333, 4}

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