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Simplifying z2 + 48z = 0 Reorder the terms: 48z + z2 = 0 Solving 48z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(48 + z) = 0Subproblem 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 '(48 + z)' equal to zero and attempt to solve: Simplifying 48 + z = 0 Solving 48 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + z = 0 + -48 Combine like terms: 48 + -48 = 0 0 + z = 0 + -48 z = 0 + -48 Combine like terms: 0 + -48 = -48 z = -48 Simplifying z = -48Solution
z = {0, -48}
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