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Simplifying 16z5 + -250z2 = 0 Reorder the terms: -250z2 + 16z5 = 0 Solving -250z2 + 16z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z2'. 2z2(-125 + 8z3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(-125 + 8z3)' equal to zero and attempt to solve: Simplifying -125 + 8z3 = 0 Solving -125 + 8z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 8z3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 8z3 = 0 + 125 8z3 = 0 + 125 Combine like terms: 0 + 125 = 125 8z3 = 125 Divide each side by '8'. z3 = 15.625 Simplifying z3 = 15.625 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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