Question

Solve the quadratic equation by factoring 9x2+24+20=4

Answer 1

Answer:

Final answer is $x=-\frac{4}{3}$ and $x=-\frac{4}{3}$.

Step-by-step explanation:

Given equation is $9x^2+24x+20=4$.

Now we need to solve that by factoring.

$9x^2+24x+20=4$

$9x^2+24x+20-4=0$

$9x^2+24x+16=0$

$9x^2+12x+12x+16=0$

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

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

$(3x+4)=0$, $(3x+4)=0$

$3x+4=0$, $3x+4=0$

$3x=-4$, $3x=-4$

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

Hence final answer is $x=-\frac{4}{3}$ and $x=-\frac{4}{3}$.