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To substitute coefficients into the quadratic formula, first identify $a$, $b$, and $c$ from the standard form $ax^2 + bx + c = 0$. Replace $a$, $b$, and $c$ in the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with their numerical values.

Conditions: The equation is in standard form $ax^2 + bx + c = 0$.; The coefficients $a$, $b$, and $c$ have been correctly identified.

To substitute coefficients into the quadratic formula, first identify $a$, $b$, and $c$ from the standard form $ax^2 + bx + c = 0$. Replace $a$, $b$, and $c$ in the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with their numerical values.

Conditions: The equation is in standard form $ax^2 + bx + c = 0$.; The coefficients $a$, $b$, and $c$ have been correctly identified.

To simplify a fraction, find a common factor for both the numerator and the denominator. Rewrite them as products including this common factor, then cancel the common factor from the top and bottom.

Conditions: The numerator and denominator must share a common factor greater than 1.; The fraction is not yet in its simplest form.

To simplify a fraction, find a common factor for both the numerator and the denominator. Rewrite them as products including this common factor, then cancel the common factor from the top and bottom.

Conditions: The numerator and denominator must share a common factor greater than 1.; The fraction is not yet in its simplest form.

Yes, consider the equation $6x^2 - 17x + 12 = 0$. The coefficients are $a=6$, $b=-17$, and $c=12$.

Conditions: The quadratic equation has at least one negative coefficient.; The equation is in standard form $ax^2 + bx + c = 0$.

Yes, consider the equation $6x^2 - 17x + 12 = 0$. The coefficients are $a=6$, $b=-17$, and $c=12$.

Conditions: The quadratic equation has at least one negative coefficient.; The equation is in standard form $ax^2 + bx + c = 0$.