Question

What are the real solutions to the equation 5x² + 29x + 20 = 0?

Answer 1

Answer:

$x = -5,\: -\frac{4}{5}$

Step-by-step explanation:

• $5x^2 +29x + 20=0$

• $\implies 5x^2 +25x +4x+ 20=0$

• $\implies 5x(x +5) +4(x+ 5)=0$

• $\implies (x +5) (5x+ 4)=0$

• $\implies (x +5) = 0,\:(5x+ 4)=0$

• $\implies x = -5,\:x=-\frac{4}{5}$

• $\implies x = -5,\: -\frac{4}{5}$