How to solve the following equation: 3 x </mfrac> &#x2212;<!-- − --> x

Hector Petersen

Hector Petersen

Answered question

2022-06-14

How to solve the following equation: 3 x x 3 2 x + 10 + 8 3 x + 15 = 4 3 ?

Answer & Explanation

Eleanor Luna

Eleanor Luna

Beginner2022-06-15Added 19 answers

Hint:
3 x x 3 2 x + 10 + 8 3 x + 15 = 4 3
18 x 3 x 25 x + 5 = 8
18 ( x + 5 ) ( 3 x 25 ) x = 8 x ( x + 5 )
But remember, x 0 , 5
Davion Harding

Davion Harding

Beginner2022-06-16Added 4 answers

Hint: 2 x + 10 and 3 x + 15 have what in common?
Further hint: just like fractions with numbers, fractions with expressions involving variables can be recombined using algebra. For instance,
a b c d e + f d g = h i
can be rewritten by multiplying through by each of the denominators, minus the duplicate factors -- in this case, d e , d g share a factor d, so we would multiply by b d e g i:
a d g i c b g i + f b e i = h b d e g
However, care must be taken to check that b , d e , d g , i 0

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