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 (x-2)(2x+5)=0, we set each term in the parentheses to zero. x-2=0 or 2x+5=0 Step 2: Solve the first equation for x. Add 2 to both sides of the first equation. x = 2 Step 3: Solve the second equation for x. Subtract 5 from both sides of the second equation. 2x = -5 Divide by 2. x = -(5)/(2) The solutions are x = 2 and x = -(5)/(2). x = 2, x = -(5)/(2) What's next? 📸