Solve for \( x \):

\[ 2x^2 - 2x - 24 = 0 \]

2 x 2 − 2 x − 24 = 0 : 2 x 2 − x − 12 = 0 x 2 − x − 3 x + 3 x − 12 = 0 x 2 − 4 x + 3 x − 12 = 0 x ( x − 4 ) + 3 ( x − 4 ) = 0
( x − 4 ) ( x + 3 ) = 0 x − 4 = 0 or x + 3 = 0 x = 4 or x = − 3

Answered by Lilith | 2024-06-10

To solve the equation 2 x 2 − 2 x − 24 = 0 , we simplify it to x 2 − x − 12 = 0 and factor it to ( x − 4 ) ( x + 3 ) = 0 . This results in the solutions x = 4 and x = − 3 .
;

Answered by Lilith | 2024-11-01