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Simplifying 5k2x2 + -125k3 = 0 Solving 5k2x2 + -125k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k2'. 5k2(x2 + -25k) = 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 '(x2 + -25k)' equal to zero and attempt to solve: Simplifying x2 + -25k = 0 Reorder the terms: -25k + x2 = 0 Solving -25k + x2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. -25k + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -25k + 0 = 0 + -1x2 -25k = 0 + -1x2 Remove the zero: -25k = -1x2 Divide each side by '-25'. k = 0.04x2 Simplifying k = 0.04x2Solution
k = {0, 0.04x2}
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