4k^2+15=17k

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Solution for 4k^2+15=17k equation:


Simplifying
4k2 + 15 = 17k

Reorder the terms:
15 + 4k2 = 17k

Solving
15 + 4k2 = 17k

Solving for variable 'k'.

Reorder the terms:
15 + -17k + 4k2 = 17k + -17k

Combine like terms: 17k + -17k = 0
15 + -17k + 4k2 = 0

Factor a trinomial.
(5 + -4k)(3 + -1k) = 0

Subproblem 1

Set the factor '(5 + -4k)' equal to zero and attempt to solve: Simplifying 5 + -4k = 0 Solving 5 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4k = 0 + -5 -4k = 0 + -5 Combine like terms: 0 + -5 = -5 -4k = -5 Divide each side by '-4'. k = 1.25 Simplifying k = 1.25

Subproblem 2

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

Solution

k = {1.25, 3}

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