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Popular >

5x^2+3x<= 2

Solution

5 x^{2} + 3 x \leq 2

Solution

- 1 \leq x \leq \frac{2}{5}

+2

Interval Notation

[- 1, \frac{2}{5}]

Decimal Notation

- 1 \leq x \leq 0.4

Solution steps

5 x^{2} + 3 x \leq 2

Rewrite in standard form

5 x^{2} + 3 x - 2 \leq 0

Factor

5 x^{2} + 3 x - 2 : (5 x - 2) (x + 1)

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

Identify the intervals

- 1 \leq x \leq \frac{2}{5}

Popular Examples

9 (x - 2) - 4 = 14

simplify 1.75^{-0.5}simplify

1.7 5^{- 0.5}

x - \frac{1}{2} = - \frac{2}{5}

simplify-2/3*2 simplify

- \frac{2}{3} \cdot 2

2/3 (1/4 x-2)= 1/5 (4/3 x-1)

\frac{2}{3} (\frac{1}{4} x - 2) = \frac{1}{5} (\frac{4}{3} x - 1)

Frequently Asked Questions (FAQ)

What is 5x^2+3x<= 2 ?
The solution to 5x^2+3x<= 2 is -1<= x<= 2/5