Solve for \( x \) in the following equation by the quadratic formula

To solve for \( x \) using the quadratic formula, you first need to identify the coefficients \( a \), \( b \), and \( c \) from your quadratic equation in the standard form \( ax^2 + bx + c = 0 \). Once you have those values, plug them into the formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). This formula gives you the two possible values for \( x \) that satisfy the equation. When using the quadratic formula, keep an eye out for potential errors! A common mistake is miscalculating the discriminant \( b^2 - 4ac \). Remember, if this number is negative, the solutions will be complex numbers! Always double-check your arithmetic, especially under the square root, to avoid unnecessary pitfalls.