Solve the equation for x, where x is a real number (5 points): -12x^2 + 18x - 4 = 3

Subtract 3 from both sides so that the equation becomes -12x^2 + 18x - 7 = 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 = [ -18 ± √(18^2 - 4(-12)(-7)) ] / ( 2(-12) )
                               x = [ -18 ± √(324 - (336) ) ] / ( -24 )
                               x = [ -18 ± √(-12) ] / ( -24)
The answer to this question is that there are no real solutions.