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Simplifying 35k * k + -22k + 7 = 4 Multiply k * k 35k2 + -22k + 7 = 4 Reorder the terms: 7 + -22k + 35k2 = 4 Solving 7 + -22k + 35k2 = 4 Solving for variable 'k'. Reorder the terms: 7 + -4 + -22k + 35k2 = 4 + -4 Combine like terms: 7 + -4 = 3 3 + -22k + 35k2 = 4 + -4 Combine like terms: 4 + -4 = 0 3 + -22k + 35k2 = 0 Factor a trinomial. (1 + -5k)(3 + -7k) = 0Subproblem 1
Set the factor '(1 + -5k)' equal to zero and attempt to solve: Simplifying 1 + -5k = 0 Solving 1 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 0 + -1 -5k = 0 + -1 Combine like terms: 0 + -1 = -1 -5k = -1 Divide each side by '-5'. k = 0.2 Simplifying k = 0.2Subproblem 2
Set the factor '(3 + -7k)' equal to zero and attempt to solve: Simplifying 3 + -7k = 0 Solving 3 + -7k = 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 + -7k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 0 + -3 -7k = 0 + -3 Combine like terms: 0 + -3 = -3 -7k = -3 Divide each side by '-7'. k = 0.4285714286 Simplifying k = 0.4285714286Solution
k = {0.2, 0.4285714286}
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