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Simplifying 25k4 + 15k2 = 0 Reorder the terms: 15k2 + 25k4 = 0 Solving 15k2 + 25k4 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k2'. 5k2(3 + 5k2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}Subproblem 2
Set the factor '(3 + 5k2)' equal to zero and attempt to solve: Simplifying 3 + 5k2 = 0 Solving 3 + 5k2 = 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 + 5k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5k2 = 0 + -3 5k2 = 0 + -3 Combine like terms: 0 + -3 = -3 5k2 = -3 Divide each side by '5'. k2 = -0.6 Simplifying k2 = -0.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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