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Popular >

x^2(x+5)>= 84x

Solution

x^{2} (x + 5) \geq 84 x

Solution

- 12 \leq x \leq 0 or x \geq 7

+1

Interval Notation

[- 12, 0] \cup [7, \infty)

Solution steps

x^{2} (x + 5) \geq 84 x

Rewrite in standard form

x^{3} + 5 x^{2} - 84 x \geq 0

Factor

x^{3} + 5 x^{2} - 84 x : x (x - 7) (x + 12)

x (x - 7) (x + 12) \geq 0

Identify the intervals

- 12 \leq x \leq 0 or x \geq 7

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Frequently Asked Questions (FAQ)

What is x^2(x+5)>= 84x ?
The solution to x^2(x+5)>= 84x is -12<= x<= 0\lor x>= 7