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Popular >

2x^2+5x-12>= 0

Solution

2 x^{2} + 5 x - 12 \geq 0

Solution

x \leq - 4 or x \geq \frac{3}{2}

+2

Interval Notation

(- \infty, - 4] \cup [\frac{3}{2}, \infty)

Decimal Notation

x \leq - 4 or x \geq 1.5

Solution steps

2 x^{2} + 5 x - 12 \geq 0

Factor

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

(2 x - 3) (x + 4) \geq 0

Identify the intervals

x \leq - 4 or x \geq \frac{3}{2}

Popular Examples

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factor 2a^2+7ab+3b^2 factor

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

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

Frequently Asked Questions (FAQ)

What is 2x^2+5x-12>= 0 ?
The solution to 2x^2+5x-12>= 0 is x<=-4\lor x>= 3/2