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Popular >

6x^2+7x<= 3

Solution

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

Solution

- \frac{3}{2} \leq x \leq \frac{1}{3}

+2

Interval Notation

[- \frac{3}{2}, \frac{1}{3}]

Decimal Notation

- 1.5 \leq x \leq 0.33333 \dots

Solution steps

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

Rewrite in standard form

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

Factor

6 x^{2} + 7 x - 3 : (3 x - 1) (2 x + 3)

(3 x - 1) (2 x + 3) \leq 0

Identify the intervals

- \frac{3}{2} \leq x \leq \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 6x^2+7x<= 3 ?
The solution to 6x^2+7x<= 3 is -3/2 <= x<= 1/3