Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0. To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0 x = [ -b ± √(b^2 - 4ac) ] / (2a) x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) ) x = [-5 ± √(25 - (-40) ) ] / ( -4 ) x = [-5 ± √(65) ] / ( -4) x = [-5 ± sqrt(65) ] / ( -4 ) x = 5/4 ± -sqrt(65)/4 The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
