4k^2+3k-76=0

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Solution for 4k^2+3k-76=0 equation:


Simplifying
4k2 + 3k + -76 = 0

Reorder the terms:
-76 + 3k + 4k2 = 0

Solving
-76 + 3k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-19 + -4k)(4 + -1k) = 0

Subproblem 1

Set the factor '(-19 + -4k)' equal to zero and attempt to solve: Simplifying -19 + -4k = 0 Solving -19 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4k = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4k = 0 + 19 -4k = 0 + 19 Combine like terms: 0 + 19 = 19 -4k = 19 Divide each side by '-4'. k = -4.75 Simplifying k = -4.75

Subproblem 2

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

Solution

k = {-4.75, 4}

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