Question

5x-1/3(x+1) = 6(x+1/30)

solve this question
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Answer 1

Step-by-step explanation:

$\frac{5x - 1}{3(x + 1)} = 6( \frac{x + 1}{30} ) \\ \frac{5x - 1}{3x + 3} = \frac{6x + 6}{30} \\ 5x - 1 = \frac{3x + 3(6x + 6)}{30} \\ 30(5x - 1) = 18 {x}^{2} + 18x + 18x + 18 \\ 150x - 30 = 18 {x}^{2} + 36x + 18 \\ 18 {x}^{2} + 36x + 18 = 150x - 30 \\ 18 {x}^{2} + 36x - 150x + 30 + 18 = 0 \\ 18 {x}^{2} - 114x + 48 = 0 \\ 6(3 {x}^{2} - 19x + 8) = 0 \\ 3 {x}^{2} - 19x + 8 = 0 \\ \sf \: By \: using \: Quadratic \: Formula \\ x = \frac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - ( - 19) \: \pm \: \sqrt{ {( - 19)}^{2} - 4 \times 3 \times 8 } }{2 \times 3} \\ x = \frac{19 \: \pm \: \sqrt{361 - 96} }{6} \\ x = \frac{19 \: \pm \: \sqrt{265} }{6}$

Answer 2

Answer:

5x-1/3(x+1)}-6(x+1/30)

5x -x/3-1/3-6x+6/30

(15x-x-1/3={180x+6/30

14x-1-3 (180x+6)/30

14x-1=(180x+6)/10

10(14x-1)180xt6

140x-10-180x+6

-10-6-180x-140x

16-40x

x= -16/40

x= -2/5