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To solve a quadratic equation using the quadratic formula, first rewrite the equation in standard form $ax^2 + bx + c = 0$ and identify the coefficients $a$, $b$, and $c$. Substitute these values into the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

Conditions: The equation must be in standard quadratic form: $ax^2 + bx + c = 0$.; The leading coefficient $a$ must not be zero ($a \neq 0$).

To solve a quadratic equation using the quadratic formula, first rewrite the equation in standard form $ax^2 + bx + c = 0$ and identify the coefficients $a$, $b$, and $c$. Substitute these values into the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

Conditions: The equation must be in standard quadratic form: $ax^2 + bx + c = 0$.; The leading coefficient $a$ must not be zero ($a \neq 0$).