First, let's distribute the -4 to both terms inside the parenthesis:
(х² + 5х²) - 4х² - 20х - 48 = 0
Now, combine like terms:
6х² - 20х - 48 = 0
Next, let's factor out the greatest common factor, which is 2:
2(3х² - 10х - 24) = 0
Now, let's factor the quadratic equation inside the parenthesis:
2(3х + 4)(х - 6) = 0
Set each factor equal to 0:
3х + 4 = 0х = -4/3
х - 6 = 0х = 6
Therefore, the solutions are x = -4/3 and x = 6.
First, let's distribute the -4 to both terms inside the parenthesis:
(х² + 5х²) - 4х² - 20х - 48 = 0
Now, combine like terms:
6х² - 20х - 48 = 0
Next, let's factor out the greatest common factor, which is 2:
2(3х² - 10х - 24) = 0
Now, let's factor the quadratic equation inside the parenthesis:
2(3х + 4)(х - 6) = 0
Set each factor equal to 0:
3х + 4 = 0
х = -4/3
х - 6 = 0
х = 6
Therefore, the solutions are x = -4/3 and x = 6.