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Simplifying (7k + -5)(4k + -3) = 0 Reorder the terms: (-5 + 7k)(4k + -3) = 0 Reorder the terms: (-5 + 7k)(-3 + 4k) = 0 Multiply (-5 + 7k) * (-3 + 4k) (-5(-3 + 4k) + 7k * (-3 + 4k)) = 0 ((-3 * -5 + 4k * -5) + 7k * (-3 + 4k)) = 0 ((15 + -20k) + 7k * (-3 + 4k)) = 0 (15 + -20k + (-3 * 7k + 4k * 7k)) = 0 (15 + -20k + (-21k + 28k2)) = 0 Combine like terms: -20k + -21k = -41k (15 + -41k + 28k2) = 0 Solving 15 + -41k + 28k2 = 0 Solving for variable 'k'. Factor a trinomial. (5 + -7k)(3 + -4k) = 0Subproblem 1
Set the factor '(5 + -7k)' equal to zero and attempt to solve: Simplifying 5 + -7k = 0 Solving 5 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7k = 0 + -5 -7k = 0 + -5 Combine like terms: 0 + -5 = -5 -7k = -5 Divide each side by '-7'. k = 0.7142857143 Simplifying k = 0.7142857143Subproblem 2
Set the factor '(3 + -4k)' equal to zero and attempt to solve: Simplifying 3 + -4k = 0 Solving 3 + -4k = 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 + -4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = 0 + -3 -4k = 0 + -3 Combine like terms: 0 + -3 = -3 -4k = -3 Divide each side by '-4'. k = 0.75 Simplifying k = 0.75Solution
k = {0.7142857143, 0.75}
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