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Simplifying 7z3 + -21z2 + -2646z = 0 Reorder the terms: -2646z + -21z2 + 7z3 = 0 Solving -2646z + -21z2 + 7z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(-378 + -3z + z2) = 0 Factor a trinomial. 7z((-18 + -1z)(21 + -1z)) = 0 Ignore the factor 7.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 '(-18 + -1z)' equal to zero and attempt to solve: Simplifying -18 + -1z = 0 Solving -18 + -1z = 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 + -1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = 0 + 18 -1z = 0 + 18 Combine like terms: 0 + 18 = 18 -1z = 18 Divide each side by '-1'. z = -18 Simplifying z = -18Subproblem 3
Set the factor '(21 + -1z)' equal to zero and attempt to solve: Simplifying 21 + -1z = 0 Solving 21 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1z = 0 + -21 -1z = 0 + -21 Combine like terms: 0 + -21 = -21 -1z = -21 Divide each side by '-1'. z = 21 Simplifying z = 21Solution
z = {0, -18, 21}
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