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Popular >

6x^2-4>= 5x+2

Solution

6 x^{2} - 4 \geq 5 x + 2

Solution

x \leq - \frac{2}{3} or x \geq \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{2}{3}] \cup [\frac{3}{2}, \infty)

Decimal Notation

x \leq - 0.66666 \dots or x \geq 1.5

Solution steps

6 x^{2} - 4 \geq 5 x + 2

Rewrite in standard form

6 x^{2} - 6 - 5 x \geq 0

Factor

6 x^{2} - 6 - 5 x : (3 x + 2) (2 x - 3)

(3 x + 2) (2 x - 3) \geq 0

Identify the intervals

x \leq - \frac{2}{3} or x \geq \frac{3}{2}

Popular Examples

x^{2} - 6 x = 10

simplify |-13|simplify

∣ - 13 ∣

8 x - 2 = - 2 (4 x + 1)

factor-3x^2+26x-16 factor

- 3 x^{2} + 26 x - 16

23-x<= 4(2x+2)-4x

23 - x \leq 4 (2 x + 2) - 4 x

Frequently Asked Questions (FAQ)

What is 6x^2-4>= 5x+2 ?
The solution to 6x^2-4>= 5x+2 is x<=-2/3 \lor x>= 3/2