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Simplifying 35k2 = 57k + 44 Reorder the terms: 35k2 = 44 + 57k Solving 35k2 = 44 + 57k Solving for variable 'k'. Reorder the terms: -44 + -57k + 35k2 = 44 + 57k + -44 + -57k Reorder the terms: -44 + -57k + 35k2 = 44 + -44 + 57k + -57k Combine like terms: 44 + -44 = 0 -44 + -57k + 35k2 = 0 + 57k + -57k -44 + -57k + 35k2 = 57k + -57k Combine like terms: 57k + -57k = 0 -44 + -57k + 35k2 = 0 Factor a trinomial. (-4 + -7k)(11 + -5k) = 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 '(11 + -5k)' equal to zero and attempt to solve: Simplifying 11 + -5k = 0 Solving 11 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5k = 0 + -11 -5k = 0 + -11 Combine like terms: 0 + -11 = -11 -5k = -11 Divide each side by '-5'. k = 2.2 Simplifying k = 2.2Solution
k = {-0.5714285714, 2.2}
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