222-x/4x=255+3x

To solve the equation 222-x/4x=255+3x, we follow these steps: 1. Multiply both sides of the equation by 4x to eliminate the fraction: 222 - x = 1020x + 12x^2 2. Rearrange the equation to form a quadratic equation by bringing all terms to one side: 12x^2 + 1021x - 222 = 0 3. To solve this quadratic equation, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a 4. Plug in the values of a, b, and c into the formula: a = 12, b = 1021, c = -222 5. Calculate the discriminant (b^2 - 4ac) and then apply the formula to find the values of x. Remember to check your solutions by substituting them back into the original equation to ensure they are correct. If you encounter any difficulties, feel free to ask for further assistance.