Solve by factorization 6x^2+x-2=0

Lorena Lester 2022-07-16 Answered
Solve,
6 x 2 + x 2 = 0
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Answers (1)

coolng90qo
Answered 2022-07-17 Author has 14 answers
Step 1
factor the following 6 x 2 + x 2 = 0
Step 2
Factor the quadratic 6 x 2 + x 2 = 0
The coefficient of x 2 is 6 and the constant term is −2.
The product of 6 and −2 is −12. The factors of −12 which sum to 1 are −3 and 4.
So 6 x 2 + x 2 = 6 x 2 + 4 x 3 x 2 = 2 ( 2 x 1 ) + 3 x ( 2 x 1 ) :
2 ( 2 x 1 ) + 3 x ( 2 x 1 ) :
Factor 2 x 1 from 2 ( 2 x 1 ) + 3 x ( 2 x 1 ) = ( 2 x 1 ) ( 3 x + 2 )
Now set ( 2 x 1 ) ( 3 x + 2 ) = 0
( 2 x 1 ) = 0 and ( 3 x + 2 ) = 0
x = 1 2 and x = 2 3
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