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Popular >

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

Solution

2 x^{2} + 5 x - 4 > - 2 x

Solution

x < - 4 or x > \frac{1}{2}

+2

Interval Notation

(- \infty, - 4) \cup (\frac{1}{2}, \infty)

Decimal Notation

x < - 4 or x > 0.5

Solution steps

2 x^{2} + 5 x - 4 > - 2 x

Rewrite in standard form

2 x^{2} + 7 x - 4 > 0

Factor

2 x^{2} + 7 x - 4 : (2 x - 1) (x + 4)

(2 x - 1) (x + 4) > 0

Identify the intervals

x < - 4 or x > \frac{1}{2}

Popular Examples

2 x^{2} + 7 x < - 5

simplify (2^x)/(2^{x+1)}simplify

\frac{2 ^{x}}{2 ^{x + 1}}

simplify (2b^2-1)/b-b+5 simplify

\frac{2 b ^{2} - 1}{b} - b + 5

5 x^{2} - 11 x + 2 = 0

simplify 6/(2sqrt(3))simplify

\frac{6}{2 3}

Frequently Asked Questions (FAQ)

What is 2x^2+5x-4>-2x ?
The solution to 2x^2+5x-4>-2x is x<-4\lor x> 1/2