Simplify the following:
((-3)/2)^2+3×(-3)/2-10
3×(-3)/2 = (3 (-3))/2:
((-3)/2)^2+(3 (-3))/2-10
3 (-3) = -9:
((-3)/2)^2+-9/2-10
((-3)/2)^2 = (-3)^2/2^2:
(-3)^2/2^2-(9)/2-10
(-3)^2 = 9:
9/2^2-(9)/2-10
2^2 = 4:
9/4-(9)/2-10
Put 9/4-(9)/2-10 over the common denominator 4. 9/4-(9)/2-10 = 9/4+(2 (-9))/4+(4 (-10))/4:
9/4+(2 (-9))/4+(4 (-10))/4
2 (-9) = -18:
9/4+-18/4+(4 (-10))/4
4 (-10) = -40:
9/4-(18)/4+-40/4
9/4-18/4-40/4 = (9-18-40)/4:
(9-18-40)/4
9-18-40 = 9-(18+40):
9-(18+40)/4
9-58 = -(58-9):
-(58-9)/4
Answer: |(-49)/4
