Simplifying 2k2 + 7k = 0 Reorder the terms: 7k + 2k2 = 0 Solving 7k + 2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(7 + 2k) = 0 Subproblem 1Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0 Subproblem 2Set the factor '(7 + 2k)' equal to zero and attempt to solve: Simplifying 7 + 2k = 0 Solving 7 + 2k = 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 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5Solutionk = {0, -3.5}