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Popular >

3x^2+7x<= 6

Solution

3 x^{2} + 7 x \leq 6

Solution

- 3 \leq x \leq \frac{2}{3}

+2

Interval Notation

[- 3, \frac{2}{3}]

Decimal Notation

- 3 \leq x \leq 0.66666 \dots

Solution steps

3 x^{2} + 7 x \leq 6

Rewrite in standard form

3 x^{2} + 7 x - 6 \leq 0

Factor

3 x^{2} + 7 x - 6 : (3 x - 2) (x + 3)

(3 x - 2) (x + 3) \leq 0

Identify the intervals

- 3 \leq x \leq \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 3x^2+7x<= 6 ?
The solution to 3x^2+7x<= 6 is -3<= x<= 2/3