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Popular >

5x^2+3x<=-8x+12

Solution

5 x^{2} + 3 x \leq - 8 x + 12

Solution

- 3 \leq x \leq \frac{4}{5}

+2

Interval Notation

[- 3, \frac{4}{5}]

Decimal Notation

- 3 \leq x \leq 0.8

Solution steps

5 x^{2} + 3 x \leq - 8 x + 12

Rewrite in standard form

5 x^{2} + 11 x - 12 \leq 0

Factor

5 x^{2} + 11 x - 12 : (5 x - 4) (x + 3)

(5 x - 4) (x + 3) \leq 0

Identify the intervals

- 3 \leq x \leq \frac{4}{5}

Popular Examples

4 x^{2} - 25 \geq 0

simplify 3/(5^3)simplify

\frac{3}{5 ^{3}}

factor 12st+16t-3s-4 factor

12 s t + 16 t - 3 s - 4

- 2 (x - 5) < 4

simplify-8x^4y^2(-13xy^3)simplify

- 8 x^{4} y^{2} (- 13 x y^{3})

Frequently Asked Questions (FAQ)

What is 5x^2+3x<=-8x+12 ?
The solution to 5x^2+3x<=-8x+12 is -3<= x<= 4/5