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Simplifying 3z2 + 51z = 0 Reorder the terms: 51z + 3z2 = 0 Solving 51z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(17 + z) = 0 Ignore the factor 3.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 '(17 + z)' equal to zero and attempt to solve: Simplifying 17 + z = 0 Solving 17 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + z = 0 + -17 z = 0 + -17 Combine like terms: 0 + -17 = -17 z = -17 Simplifying z = -17Solution
z = {0, -17}
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