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Simplifying (3k + 4)(7k + -4) = 0 Reorder the terms: (4 + 3k)(7k + -4) = 0 Reorder the terms: (4 + 3k)(-4 + 7k) = 0 Multiply (4 + 3k) * (-4 + 7k) (4(-4 + 7k) + 3k * (-4 + 7k)) = 0 ((-4 * 4 + 7k * 4) + 3k * (-4 + 7k)) = 0 ((-16 + 28k) + 3k * (-4 + 7k)) = 0 (-16 + 28k + (-4 * 3k + 7k * 3k)) = 0 (-16 + 28k + (-12k + 21k2)) = 0 Combine like terms: 28k + -12k = 16k (-16 + 16k + 21k2) = 0 Solving -16 + 16k + 21k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -3k)(4 + -7k) = 0Subproblem 1
Set the factor '(-4 + -3k)' equal to zero and attempt to solve: Simplifying -4 + -3k = 0 Solving -4 + -3k = 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 + -3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = 0 + 4 -3k = 0 + 4 Combine like terms: 0 + 4 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333Subproblem 2
Set the factor '(4 + -7k)' equal to zero and attempt to solve: Simplifying 4 + -7k = 0 Solving 4 + -7k = 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 + -7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7k = 0 + -4 -7k = 0 + -4 Combine like terms: 0 + -4 = -4 -7k = -4 Divide each side by '-7'. k = 0.5714285714 Simplifying k = 0.5714285714Solution
k = {-1.333333333, 0.5714285714}
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