6k^2-53k+46=6

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Solution for 6k^2-53k+46=6 equation:


Simplifying
6k2 + -53k + 46 = 6

Reorder the terms:
46 + -53k + 6k2 = 6

Solving
46 + -53k + 6k2 = 6

Solving for variable 'k'.

Reorder the terms:
46 + -6 + -53k + 6k2 = 6 + -6

Combine like terms: 46 + -6 = 40
40 + -53k + 6k2 = 6 + -6

Combine like terms: 6 + -6 = 0
40 + -53k + 6k2 = 0

Factor a trinomial.
(5 + -6k)(8 + -1k) = 0

Subproblem 1

Set the factor '(5 + -6k)' equal to zero and attempt to solve: Simplifying 5 + -6k = 0 Solving 5 + -6k = 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 + -6k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 0 + -5 -6k = 0 + -5 Combine like terms: 0 + -5 = -5 -6k = -5 Divide each side by '-6'. k = 0.8333333333 Simplifying k = 0.8333333333

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 = {0.8333333333, 8}

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