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
You're on a roll — Here's how to solve the quadratic equation: Step 1: Simplify the equation by dividing all terms by the common factor, which is 3. (3x^2)/(3) + (60x)/(3) - (14400)/(3) = (0)/(3) x^2 + 20x - 4800 = 0 Step 2: Factor the quadratic equation. We need two numbers that multiply to -4800 and add up to 20. These numbers are 80 and -60. (x+80)(x-60) = 0 Step 3: Set each factor equal to zero to find the possible values of x. x+80 = 0 x = -80 x-60 = 0 x = 60 The solutions for x are x = -80 or x = 60. What's next?