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: Identify the common factor in the equation. The equation is 5x^2 - 10x = 0. Both terms, 5x^2 and -10x, have a common factor of 5x. Step 2: Factor out the common term. Factor 5x from both terms: 5x(x - 2) = 0 Step 3: Set each factor equal to zero and solve for x. For the product of two factors to be zero, at least one of the factors must be zero. Case 1: 5x = 0 Divide by 5: x = (0)/(5) x = 0 Case 2: x - 2 = 0 Add 2 to both sides: x = 2 The solutions to the equation are x = 0 and x = 2. The final answer is x=0, x=2. That's 2 down. 3 left today — send the next one.