-6x3 + 30x2 ≥ 0

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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-6x3 + 30x2 ≥ 0

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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steps
1. Turn the inequality into an equation, simply by writing -6x^3 + 30x^2 = 0. The reason for doing this is to find the solutions of x. In this case the value of x that solves this equation is 0 and 5. 2. Set up the intervals for the function. That is, (negative infinity, 0) ; (0,5) ; (5, positive infinity) 3. Take a test value from each interval (do not use any of the boundary values, i.e. 0 or 5) and substitute it into the expression -6x^3 + 30x^2. Only regard the sign of the return value. 4. Since -6x^3 + 30x^2 must be greater than or equal to zero, select only those intervals that yield a positive number. 5. Be sure to use square brackets appropriately to account for the 'or equal to zero' part of the inequality.

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