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Simplifying (7k + 4)(k + -2) = 0 Reorder the terms: (4 + 7k)(k + -2) = 0 Reorder the terms: (4 + 7k)(-2 + k) = 0 Multiply (4 + 7k) * (-2 + k) (4(-2 + k) + 7k * (-2 + k)) = 0 ((-2 * 4 + k * 4) + 7k * (-2 + k)) = 0 ((-8 + 4k) + 7k * (-2 + k)) = 0 (-8 + 4k + (-2 * 7k + k * 7k)) = 0 (-8 + 4k + (-14k + 7k2)) = 0 Combine like terms: 4k + -14k = -10k (-8 + -10k + 7k2) = 0 Solving -8 + -10k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -7k)(2 + -1k) = 0Subproblem 1
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 = -0.5714285714Subproblem 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 = 2Solution
k = {-0.5714285714, 2}
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