2k^2=-21k-49

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Solution for 2k^2=-21k-49 equation:


Simplifying
2k2 = -21k + -49

Reorder the terms:
2k2 = -49 + -21k

Solving
2k2 = -49 + -21k

Solving for variable 'k'.

Reorder the terms:
49 + 21k + 2k2 = -49 + -21k + 49 + 21k

Reorder the terms:
49 + 21k + 2k2 = -49 + 49 + -21k + 21k

Combine like terms: -49 + 49 = 0
49 + 21k + 2k2 = 0 + -21k + 21k
49 + 21k + 2k2 = -21k + 21k

Combine like terms: -21k + 21k = 0
49 + 21k + 2k2 = 0

Factor a trinomial.
(7 + k)(7 + 2k) = 0

Subproblem 1

Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 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 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7

Subproblem 2

Set the factor '(7 + 2k)' equal to zero and attempt to solve: Simplifying 7 + 2k = 0 Solving 7 + 2k = 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 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5

Solution

k = {-7, -3.5}

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