Question

solve the following quadratic equation by factoring. if needed, write your answer as a fraction reduced to lowest terms. 39x + 7x² = 18

Explanation:

Step1: Rearrange to standard form

$7x^2 + 39x - 18 = 0$

Step2: Factor the quadratic

$(7x - 3)(x + 6) = 0$

Step3: Solve for x (first factor)

$7x - 3 = 0 \implies x = \frac{3}{7}$

Step4: Solve for x (second factor)

$x + 6 = 0 \implies x = -6$

Answer:

$x = \frac{3}{7}$ or $x = -6$