K^2-3K-28=

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Solution for K^2-3K-28= equation:


Simplifying
K2 + -3K + -28 = 0

Reorder the terms:
-28 + -3K + K2 = 0

Solving
-28 + -3K + K2 = 0

Solving for variable 'K'.

Factor a trinomial.
(-4 + -1K)(7 + -1K) = 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 '(7 + -1K)' equal to zero and attempt to solve: Simplifying 7 + -1K = 0 Solving 7 + -1K = 0 Move all terms containing K to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1K = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1K = 0 + -7 -1K = 0 + -7 Combine like terms: 0 + -7 = -7 -1K = -7 Divide each side by '-1'. K = 7 Simplifying K = 7

Solution

K = {-4, 7}

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