t+3/2-4/2t=0

To solve the equation t + 3/2 - 4/2t = 0, we need to isolate the variable t.

Step 1: Clear the fractions by multiplying through by the common denominator of 2 for all the terms.

2*(t) + 2*(3/2) - 2*(4/2)*t = 0

Simplifying this expression, we get:

2t + 3 - 4t = 0

Step 2: Combine like terms.

(2t - 4t) + 3 = 0

-2t + 3 = 0

Step 3: Move the constant term to the other side of the equation.

-2t = -3

Step 4: Divide both sides by -2 to solve for t.

t = -3 / -2

Simplifying the expression, we get:

t = 3/2

Therefore, the solution to the equation t + 3/2 - 4/2t = 0 is t = 3/2.