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Popular >

x(3x-2)<= 5

Solution

x (3 x - 2) \leq 5

Solution

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

+2

Interval Notation

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

Decimal Notation

- 1 \leq x \leq 1.66666 \dots

Solution steps

x (3 x - 2) \leq 5

Rewrite in standard form

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

Factor

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

(x + 1) (3 x - 5) \leq 0

Identify the intervals

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

Popular Examples

simplify (x^3y^{-5})/(x^7y^{-7)}simplify

\frac{x ^{3} y ^{- 5}}{x ^{7} y ^{- 7}}

factor u^2-2u+1 factor

u^{2} - 2 u + 1

simplify (-5k^3-6k+1)+(-6k^2+5k)simplify

(- 5 k^{3} - 6 k + 1) + (- 6 k^{2} + 5 k)

- x - 2 = 1 - 2 x

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

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

Frequently Asked Questions (FAQ)

What is x(3x-2)<= 5 ?
The solution to x(3x-2)<= 5 is -1<= x<= 5/3