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Simplifying 4z(z + -36) = 0 Reorder the terms: 4z(-36 + z) = 0 (-36 * 4z + z * 4z) = 0 (-144z + 4z2) = 0 Solving -144z + 4z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-36 + z) = 0 Ignore the factor 4.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 '(-36 + z)' equal to zero and attempt to solve: Simplifying -36 + z = 0 Solving -36 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + z = 0 + 36 z = 0 + 36 Combine like terms: 0 + 36 = 36 z = 36 Simplifying z = 36Solution
z = {0, 36}
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