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Simplifying 12z5 + -30z2 = 0 Reorder the terms: -30z2 + 12z5 = 0 Solving -30z2 + 12z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '6z2'. 6z2(-5 + 2z3) = 0 Ignore the factor 6.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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