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Simplifying 15z5 + -35z2 = 0 Reorder the terms: -35z2 + 15z5 = 0 Solving -35z2 + 15z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z2'. 5z2(-7 + 3z3) = 0 Ignore the factor 5.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 '(-7 + 3z3)' equal to zero and attempt to solve: Simplifying -7 + 3z3 = 0 Solving -7 + 3z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3z3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3z3 = 0 + 7 3z3 = 0 + 7 Combine like terms: 0 + 7 = 7 3z3 = 7 Divide each side by '3'. z3 = 2.333333333 Simplifying z3 = 2.333333333 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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