Question

Factor then solve. ​ 3x2+14x+8=0

Answer 1

Answer:

x = - 4, x = - $\frac{2}{3}$

Step-by-step explanation:

Given

3x² + 14x + 8 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 + 8 = 24 and sum = + 14

The factors are + 12 and + 2

Use these factors to split the x- term

3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )

3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term

(x + 4)(3x + 2) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - $\frac{2}{3}$