Final answer to the problem
$x>0.7655644$
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Step-by-step Solution
Specify the solving method
1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms
$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$
Learn how to solve inequalities problems step by step online.
$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$
Learn how to solve inequalities problems step by step online. Solve the inequality 2x^2+5x+-5>0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{2}xx+\frac{25}{16}. Subtract the values -\frac{5}{2} and -\frac{25}{16}.
Final answer to the problem
$x>0.7655644$