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Popular >

15x^2-2>= 7x

Solution

15 x^{2} - 2 \geq 7 x

Solution

x \leq - \frac{1}{5} or x \geq \frac{2}{3}

+2

Interval Notation

(- \infty, - \frac{1}{5}] \cup [\frac{2}{3}, \infty)

Decimal Notation

x \leq - 0.2 or x \geq 0.66666 \dots

Solution steps

15 x^{2} - 2 \geq 7 x

Rewrite in standard form

15 x^{2} - 2 - 7 x \geq 0

Factor

15 x^{2} - 2 - 7 x : (5 x + 1) (3 x - 2)

(5 x + 1) (3 x - 2) \geq 0

Identify the intervals

x \leq - \frac{1}{5} or x \geq \frac{2}{3}

Popular Examples

(5 x + 1) (x + 2) = - 1

x^{2} - 10 x + 61 = 0

3 x^{2} + 6 x + 4 = 0

4x+3>15\lor-6x>= 12

4 x + 3 > 15 or - 6 x \geq 12

simplify (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5)simplify

\frac{2 x ^{- 2} y}{7 x ^{3} y ^{2}} \cdot \frac{14 x ^{5} y ^{3}}{x ^{0} y ^{5}}

Frequently Asked Questions (FAQ)

What is 15x^2-2>= 7x ?
The solution to 15x^2-2>= 7x is x<=-1/5 \lor x>= 2/3