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Simplifying (9k + 4)(k + -7) = 0 Reorder the terms: (4 + 9k)(k + -7) = 0 Reorder the terms: (4 + 9k)(-7 + k) = 0 Multiply (4 + 9k) * (-7 + k) (4(-7 + k) + 9k * (-7 + k)) = 0 ((-7 * 4 + k * 4) + 9k * (-7 + k)) = 0 ((-28 + 4k) + 9k * (-7 + k)) = 0 (-28 + 4k + (-7 * 9k + k * 9k)) = 0 (-28 + 4k + (-63k + 9k2)) = 0 Combine like terms: 4k + -63k = -59k (-28 + -59k + 9k2) = 0 Solving -28 + -59k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -9k)(7 + -1k) = 0Subproblem 1
Set the factor '(-4 + -9k)' equal to zero and attempt to solve: Simplifying -4 + -9k = 0 Solving -4 + -9k = 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 + -9k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9k = 0 + 4 -9k = 0 + 4 Combine like terms: 0 + 4 = 4 -9k = 4 Divide each side by '-9'. k = -0.4444444444 Simplifying k = -0.4444444444Subproblem 2
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 = 7Solution
k = {-0.4444444444, 7}
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