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Simplifying (5z + -1z)(4Z + -6) = 0 Combine like terms: 5z + -1z = 4z (4z)(4Z + -6) = 0 Remove parenthesis around (4z) 4z(4Z + -6) = 0 Reorder the terms: 4z(-6 + 4Z) = 0 (-6 * 4z + 4Z * 4z) = 0 (-24z + 16zZ) = 0 Solving -24z + 16zZ = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '8z'. 8z(-3 + 2Z) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-3 + 2Z)' equal to zero and attempt to solve: Simplifying -3 + 2Z = 0 Solving -3 + 2Z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2Z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2Z = 0 + 3 2Z = 0 + 3 Combine like terms: 0 + 3 = 3 2Z = 3 Add '-2Z' to each side of the equation. 2Z + -2Z = 3 + -2Z Combine like terms: 2Z + -2Z = 0 0 = 3 + -2Z Simplifying 0 = 3 + -2Z 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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