k^2+8k-20=0

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Solution for k^2+8k-20=0 equation:


Simplifying
k2 + 8k + -20 = 0

Reorder the terms:
-20 + 8k + k2 = 0

Solving
-20 + 8k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-10 + -1k)(2 + -1k) = 0

Subproblem 1

Set the factor '(-10 + -1k)' equal to zero and attempt to solve: Simplifying -10 + -1k = 0 Solving -10 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = 0 + 10 -1k = 0 + 10 Combine like terms: 0 + 10 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10

Subproblem 2

Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 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 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2

Solution

k = {-10, 2}

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