This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Set each factor equal to zero. For the equation (2x-5)(x+3)=0, we set each term in the parentheses to zero. 2x-5=0 or x+3=0 Step 2: Solve the first equation for x. Add 5 to both sides of the first equation. 2x = 5 Divide by 2. x = (5)/(2) Step 3: Solve the second equation for x. Subtract 3 from both sides of the second equation. x = -3 The solutions are x = (5)/(2) and x = -3. x = (5)/(2), x = -3 3 done, 2 left today. You're making progress.