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Simplifying 6z3 + -18z2 + -3300z = 0 Reorder the terms: -3300z + -18z2 + 6z3 = 0 Solving -3300z + -18z2 + 6z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '6z'. 6z(-550 + -3z + z2) = 0 Factor a trinomial. 6z((-22 + -1z)(25 + -1z)) = 0 Ignore the factor 6.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 '(-22 + -1z)' equal to zero and attempt to solve: Simplifying -22 + -1z = 0 Solving -22 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1z = 0 + 22 -1z = 0 + 22 Combine like terms: 0 + 22 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22Subproblem 3
Set the factor '(25 + -1z)' equal to zero and attempt to solve: Simplifying 25 + -1z = 0 Solving 25 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1z = 0 + -25 -1z = 0 + -25 Combine like terms: 0 + -25 = -25 -1z = -25 Divide each side by '-1'. z = 25 Simplifying z = 25Solution
z = {0, -22, 25}
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