Please solve by factoring:

\[ 5x^2 + 7x - 66 = 0 \]

Use a comma to separate answers.

5 x 2 + 7 x − 66 = 0 5 x 2 + 7 x − 22 x + 22 x − 66 = 0 5 x 2 − 15 x + 22 x − 66 = 0 5 x ( x − 3 ) + 22 ( x − 3 ) = 0 ( x − 3 ) ( 5 x + 22 ) = 0 x − 3 = 0 or 5 x + 22 = 0 x = 3 or 5 x = − 22 / : 5 x = 3 or x = − 5 22 ​ x = 3 or x = − 4 5 2 ​

Answered by Lilith | 2024-06-10

To solve the equation 5 x 2 + 7 x − 66 = 0 by factoring, we found the factors to be ( 5 x + 22 ) ( x − 3 ) = 0 . This gives us the solutions x = 3 and x = − 5 22 ​ . By grouping and factoring the terms carefully, we arrived at these solutions step by step.
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Answered by Lilith | 2024-12-17