(5k-4)(k+3)=0

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Solution for (5k-4)(k+3)=0 equation:


Simplifying
(5k + -4)(k + 3) = 0

Reorder the terms:
(-4 + 5k)(k + 3) = 0

Reorder the terms:
(-4 + 5k)(3 + k) = 0

Multiply (-4 + 5k) * (3 + k)
(-4(3 + k) + 5k * (3 + k)) = 0
((3 * -4 + k * -4) + 5k * (3 + k)) = 0
((-12 + -4k) + 5k * (3 + k)) = 0
(-12 + -4k + (3 * 5k + k * 5k)) = 0
(-12 + -4k + (15k + 5k2)) = 0

Combine like terms: -4k + 15k = 11k
(-12 + 11k + 5k2) = 0

Solving
-12 + 11k + 5k2 = 0

Solving for variable 'k'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -5k)' equal to zero and attempt to solve: Simplifying 4 + -5k = 0 Solving 4 + -5k = 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 + -5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = 0 + -4 -5k = 0 + -4 Combine like terms: 0 + -4 = -4 -5k = -4 Divide each side by '-5'. k = 0.8 Simplifying k = 0.8

Solution

k = {-3, 0.8}

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