k^2=28-3k

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


Simplifying
k2 = 28 + -3k

Solving
k2 = 28 + -3k

Solving for variable 'k'.

Reorder the terms:
-28 + 3k + k2 = 28 + -3k + -28 + 3k

Reorder the terms:
-28 + 3k + k2 = 28 + -28 + -3k + 3k

Combine like terms: 28 + -28 = 0
-28 + 3k + k2 = 0 + -3k + 3k
-28 + 3k + k2 = -3k + 3k

Combine like terms: -3k + 3k = 0
-28 + 3k + k2 = 0

Factor a trinomial.
(-7 + -1k)(4 + -1k) = 0

Subproblem 1

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

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 = {-7, 4}

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