9k^2-18k+8=0

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Solution for 9k^2-18k+8=0 equation:


Simplifying
9k2 + -18k + 8 = 0

Reorder the terms:
8 + -18k + 9k2 = 0

Solving
8 + -18k + 9k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(2 + -3k)(4 + -3k) = 0

Subproblem 1

Set the factor '(2 + -3k)' equal to zero and attempt to solve: Simplifying 2 + -3k = 0 Solving 2 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3k = 0 + -2 -3k = 0 + -2 Combine like terms: 0 + -2 = -2 -3k = -2 Divide each side by '-3'. k = 0.6666666667 Simplifying k = 0.6666666667

Subproblem 2

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

Solution

k = {0.6666666667, 1.333333333}

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