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Popular >

1-3x^2<= 2x

Solution

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

Solution

x \leq - 1 or x \geq \frac{1}{3}

+2

Interval Notation

(- \infty, - 1] \cup [\frac{1}{3}, \infty)

Decimal Notation

x \leq - 1 or x \geq 0.33333 \dots

Solution steps

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

Rewrite in standard form

1 - 3 x^{2} - 2 x \leq 0

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

(- (3 x - 1) (x + 1)) (- 1) \geq 0 \cdot (- 1)

Simplify

(3 x - 1) (x + 1) \geq 0

Identify the intervals

x \leq - 1 or x \geq \frac{1}{3}

Popular Examples

simplify i^{41}simplify

i^{41}

4 y^{2} + 19 y + 17 = 0

9 - 8 x < - 16

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

factor 16x-8x^2 factor

16 x - 8 x^{2}

Frequently Asked Questions (FAQ)

What is 1-3x^2<= 2x ?
The solution to 1-3x^2<= 2x is x<=-1\lor x>= 1/3