(2x + 3)⁠(x − 5) = 0

Sure, let's solve the equation step by step:

The given equation is (2x + 3)(x - 5) = 0

Step 1: Set each factor equal to zero. This is because if either factor is zero, the whole equation will be zero. So we have:

2x + 3 = 0 and x - 5 = 0

Step 2: Solve each equation separately:

For 2x + 3 = 0, subtract 3 from both sides to get 2x = -3, then divide both sides by 2 to get x = -3/2.

For x - 5 = 0, add 5 to both sides to get x = 5.

So, the solutions to the equation (2x + 3)(x - 5) = 0 are x = -3/2 and x = 5.