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Popular >

4x^2+6x<2x+3

Solution

4 x^{2} + 6 x < 2 x + 3

Solution

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

+2

Interval Notation

(- \frac{3}{2}, \frac{1}{2})

Decimal Notation

- 1.5 < x < 0.5

Solution steps

4 x^{2} + 6 x < 2 x + 3

Rewrite in standard form

4 x^{2} + 4 x - 3 < 0

Factor

4 x^{2} + 4 x - 3 : (2 x - 1) (2 x + 3)

(2 x - 1) (2 x + 3) < 0

Identify the intervals

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

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- x^{2} + 2 x - 6 = 0

Frequently Asked Questions (FAQ)

What is 4x^2+6x<2x+3 ?
The solution to 4x^2+6x<2x+3 is -3/2 <x< 1/2