Question

4. Solve for X, (5x + 1) (x + 3) = 3(x-1).​

Answer 1

Answer:

Given, (5x+1)(x+3)−8=5(x+1)(x+2)

⇒ 5x

2

+15x+x+3−8=5(x

2

+2x+x+2) ...[By Distribution Law]

⇒ 5x

2

+16x−5=5(x

2

+3x+2)

⇒ 5x

2

+16x−5=5x

2

+15x+10

⇒ 16x−5=15x+10 ...[Cancelling 5x

2

on both sides].

Transposing x terms to one side, we get,

⇒ 16x−15x=5+10

⇒ x=15.

Step-by-step explanation:

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Answer 2

Answer:

$5 {x}^{2} + 16x + 3 = 3x - 3 \\ \: 5 {x}^{2} + 16x + 3 - 3x + 3 = 0 \\ 5 {x}^{2} + 13x + 6 = 0 \\ 5 {x}^{2} + 10x + 3x + 6 = 0 \\ 5x(x + 2) + 3(x + 2) = 0 \\ (5x + 3)(x + 2) = 0 \\ x = ( - 2) \\ x = ( - \frac{3}{5} )$