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Simplifying (k + 4)(k + -3) = 0 Reorder the terms: (4 + k)(k + -3) = 0 Reorder the terms: (4 + k)(-3 + k) = 0 Multiply (4 + k) * (-3 + k) (4(-3 + k) + k(-3 + k)) = 0 ((-3 * 4 + k * 4) + k(-3 + k)) = 0 ((-12 + 4k) + k(-3 + k)) = 0 (-12 + 4k + (-3 * k + k * k)) = 0 (-12 + 4k + (-3k + k2)) = 0 Combine like terms: 4k + -3k = 1k (-12 + 1k + k2) = 0 Solving -12 + 1k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -1k)(3 + -1k) = 0Subproblem 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 = -4Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Solution
k = {-4, 3}
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