Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 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 = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) ) x = [ -7 ± √(49 - (-48) ) ] / ( 4 ) x = [ -7 ± √(97) ] / ( 4) x = [ -7 ± sqrt(97) ] / ( 4 ) x = -7/4 ± sqrt(97)/4 The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
