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Simplifying (50z5) + (8z2) = 0 Reorder the terms: (8z2) + (50z5) = 0 Solving (8z2) + (50z5) = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z2'. 2z2(4 + (25z3)) = 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 '(4 + (25z3))' equal to zero and attempt to solve: Simplifying 4 + (25z3) = 0 Solving 4 + (25z3) = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + (25z3) = 0 + -4 Combine like terms: 4 + -4 = 0 0 + (25z3) = 0 + -4 (25z3) = 0 + -4 Combine like terms: 0 + -4 = -4 (25z3) = -4 Divide each side by '25'. z3 = -0.16 Simplifying z3 = -0.16 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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