(k+4)(6k-5)=0

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Solution for (k+4)(6k-5)=0 equation:


Simplifying
(k + 4)(6k + -5) = 0

Reorder the terms:
(4 + k)(6k + -5) = 0

Reorder the terms:
(4 + k)(-5 + 6k) = 0

Multiply (4 + k) * (-5 + 6k)
(4(-5 + 6k) + k(-5 + 6k)) = 0
((-5 * 4 + 6k * 4) + k(-5 + 6k)) = 0
((-20 + 24k) + k(-5 + 6k)) = 0
(-20 + 24k + (-5 * k + 6k * k)) = 0
(-20 + 24k + (-5k + 6k2)) = 0

Combine like terms: 24k + -5k = 19k
(-20 + 19k + 6k2) = 0

Solving
-20 + 19k + 6k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -1k)(5 + -6k) = 0

Subproblem 1

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

Subproblem 2

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

Solution

k = {-4, 0.8333333333}

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