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Simplifying z2(4z3 + -10) = 0 Reorder the terms: z2(-10 + 4z3) = 0 (-10 * z2 + 4z3 * z2) = 0 (-10z2 + 4z5) = 0 Solving -10z2 + 4z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z2'. 2z2(-5 + 2z3) = 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 '(-5 + 2z3)' equal to zero and attempt to solve: Simplifying -5 + 2z3 = 0 Solving -5 + 2z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2z3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2z3 = 0 + 5 2z3 = 0 + 5 Combine like terms: 0 + 5 = 5 2z3 = 5 Divide each side by '2'. z3 = 2.5 Simplifying z3 = 2.5 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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