0 = 2x(3/x - 3/2) - 7
2x(3/x - 3/2) - 7 = 0
Solve for x:
2 x (3/x - 3/2) - 7 = 0
2 (3/x - 3/2) x - 7 = -3 x - 1:
-3 x - 1 = 0
Multiply both sides by -1:
3 x + 1 = 0
Subtract 1 from both sides:
3 x = -1
Divide both sides by 3:
Answer: | x = -1/3
0 = 2x(3/x - 3/2) - 7 distribute the 2x over the terms in the parentheses
0 = 6 - 3x - 7 combine like terms
0 = 13 - 3x add 3x to both sides
3x = 13 divide both sides by 3
x = 13 / 3