To solve the quadratic equation ax^2 + bx + c = 0 for x, you can use the quadratic formula:

x = (-b ± √(b² – 4ac)) / (2a)

Here’s how to apply the quadratic formula to find the solutions for x:

- Identify the coefficients a, b, and c from your equation ax^2 + bx + c = 0.
- a is the coefficient of the x^2 term.
- b is the coefficient of the x term.
- c is the constant term.

- Plug these values into the quadratic formula:

x = (-b ± √(b² – 4ac)) / (2a)

- Calculate the discriminant (the value inside the square root), which is b² – 4ac.
- Determine the two possible solutions for x by using both the plus (+) and minus (-) signs:

x₁ = (-b + √(b² – 4ac)) / (2a) x₂ = (-b – √(b² – 4ac)) / (2a)

These are your solutions for x in terms of a, b, and c.

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