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Popular >

0<= 2x^2+5x-3

Solution

0 \leq 2 x^{2} + 5 x - 3

Solution

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

+2

Interval Notation

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

Decimal Notation

x \leq - 3 or x \geq 0.5

Solution steps

0 \leq 2 x^{2} + 5 x - 3

Switch sides

2 x^{2} + 5 x - 3 \geq 0

Factor

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

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

Identify the intervals

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

Popular Examples

3 (8 - 2 x) = 6 (x + 4)

simplify 45*4 simplify

45 \cdot 4

simplify 1^{3/4}simplify

1^{\frac{3}{4}}

simplify (12w^9v^4)/((4wv)^2)simplify

\frac{12 w ^{9} v ^{4}}{( 4 w v ) ^{2}}

factor a^2-14a+49 factor

a^{2} - 14 a + 49

Frequently Asked Questions (FAQ)

What is 0<= 2x^2+5x-3 ?
The solution to 0<= 2x^2+5x-3 is x<=-3\lor x>= 1/2