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Simplifying 28z(z + -3) = 0 Reorder the terms: 28z(-3 + z) = 0 (-3 * 28z + z * 28z) = 0 (-84z + 28z2) = 0 Solving -84z + 28z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '28z'. 28z(-3 + z) = 0 Ignore the factor 28.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 + z)' equal to zero and attempt to solve: Simplifying -3 + z = 0 Solving -3 + z = 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 + z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + z = 0 + 3 z = 0 + 3 Combine like terms: 0 + 3 = 3 z = 3 Simplifying z = 3Solution
z = {0, 3}
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