Subtract 23 from both sides so that the equation becomes -4x^2 + 7x - 48 = 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(-4)(-48)) ] / ( 2(-4) ) x = [-7 ± √(49 - (768) ) ] / ( -8 ) x = [-7 ± √(-719) ] / ( -8) Since √-719 is nonreal, the answer to this question is that there are no real solutions.
