Answer
$b = -3.5, 1$
Work Step by Step
$-2b^{2} -5b + 10 = 3$
$-2b^{2} -5b + 10 - 3 = 0$
$-2b^{2} -5b + 7 = 0$
$b = \frac{-(-5)±\sqrt {(-5)^{2}-4(-2)(7)}}{2(-2)}$
$b = \frac{5±\sqrt {25-4(-2)(7)}}{-4}$
$b = \frac{5±\sqrt {25+56}}{-4}$
$b = \frac{5±\sqrt {81}}{-4}$
$b = \frac{5±9}{-4}$
$b = -3.500, 1$
