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Simplifying z2 + 18z + 63 = 63 Reorder the terms: 63 + 18z + z2 = 63 Add '-63' to each side of the equation. 63 + 18z + -63 + z2 = 63 + -63 Reorder the terms: 63 + -63 + 18z + z2 = 63 + -63 Combine like terms: 63 + -63 = 0 0 + 18z + z2 = 63 + -63 18z + z2 = 63 + -63 Combine like terms: 63 + -63 = 0 18z + z2 = 0 Solving 18z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(18 + 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 '(18 + z)' equal to zero and attempt to solve: Simplifying 18 + z = 0 Solving 18 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + z = 0 + -18 z = 0 + -18 Combine like terms: 0 + -18 = -18 z = -18 Simplifying z = -18Solution
z = {0, -18}
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