Question

math 1111 - 08 > chapter 2. equations and inequalities > test 1 (chapters 2 and 11)
test 1 (chapters 2 and 11)
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solve 2x² + 5x = - 3
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Explanation:

Step1: Rewrite in standard form

$2x^{2}+5x + 3=0$

Step2: Factor the quadratic

$(2x + 3)(x+1)=0$

Step3: Set each factor to zero

$2x+3 = 0$ gives $x=-\frac{3}{2}$; $x + 1=0$ gives $x=-1$

Answer:

$x = -1,-\frac{3}{2}$