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Simplifying z7 + 5z6 = 0 Reorder the terms: 5z6 + z7 = 0 Solving 5z6 + z7 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z6'. z6(5 + z) = 0Subproblem 1
Set the factor 'z6' equal to zero and attempt to solve: Simplifying z6 = 0 Solving z6 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 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 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Simplifying z = -5Solution
z = {-5}
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