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Simplifying 7z3(2z2 + -4z) = 0 Reorder the terms: 7z3(-4z + 2z2) = 0 (-4z * 7z3 + 2z2 * 7z3) = 0 (-28z4 + 14z5) = 0 Solving -28z4 + 14z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '14z4'. 14z4(-2 + z) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'z4' equal to zero and attempt to solve: Simplifying z4 = 0 Solving z4 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z4 = 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 '(-2 + z)' equal to zero and attempt to solve: Simplifying -2 + z = 0 Solving -2 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0 + 2 z = 0 + 2 Combine like terms: 0 + 2 = 2 z = 2 Simplifying z = 2Solution
z = {2}
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