Solve for \( x \) in the equation:

\[ 8x^2 - 7x - 18 = 0 \]

8 x 2 − 7 x − 18 = 0 8 x 2 − 16 x + 9 x − 18 = 0 8 x ( x − 2 ) + 9 ( x − 2 ) = 0 ( x − 2 ) ( 8 x + 9 ) = 0 ⇔ ( x − 2 = 0 or 8 x + 9 = 0 ) . x = 2 x = − 8 9 ​

Answered by kate200468 | 2024-06-10

The solutions to the equation 8 x 2 − 7 x − 18 = 0 are x = 2 and x = − 8 9 ​ . This was found using factoring by rearranging the middle term. Both solutions can be derived by setting each factor equal to zero.
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Answered by kate200468 | 2024-12-23