Question: Solve the equation by factoring.
12a² + 26a + 10 = 0

A ) 12 and - 53
B ) - 12 and 53
C ) 12 and 53
D ) - 12 and - 53

Steps to derive

1 12a² + 26a + 10 = 0
 [Given equation.]

2 (4a + 2)(3a + 5) = 0
 [Factor left side.]

3 4a + 2 = 0 or 3a + 5 = 0
a = - 12 or a = - 53
 [Solve for a.]

4 The solutions are - 12 and - 53.



Hence the right answer is Option D

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