Answer:
Sure thing! Here's how you'd solve the equation -3x^2 + 8x = 2x - 5 using the quadratic formula:
1. Move all terms to one side to get the standard form of a quadratic equation: -3x^2 + 8x - (2x - 5) = 0.
2. Simplify the equation: -3x^2 + 6x + 5 = 0.
3. Identify a, b, and c in the standard form ax^2 + bx + c: a = -3, b = 6, c = 5.
4. Plug these values into the quadratic formula: x = [-b ± √(b^2 - 4ac)] / (2a).
5. Calculate the discriminant (b^2 - 4ac): (6)^2 - 4(-3)(5).
6. Solve for x using the formula with the values found.
And there you go, just follow these steps, and you'll find the solution to the equation!
