Question

(2x+1)(30x+1)(5x+1)(3x+1)=10

Answer 1

( 2x + 1 )( 3x + 1 )( 5x + 1 )( 30x + 1 ) = 10

<=> ( 10x² + 7x + 1 )( 90x² + 33x + 1 ) = 10

<=> 900x^4 + 960x^3 + 331x² + 40x + 1 = 10

<=> 900x^4 + 960x^3 + 331x² + 40x - 9 = 0

<=> 900x^4 + 480x^3 + 480x^3 + 135x² + 256x² - 60x² + 72x - 32x - 9 = 0

<=> 900x^4 + 480x^3 + 135x² + 480x^3 + 256x² + 72x - 60x² - 32x - 9 = 0

<=> 15x²( 60x² + 32x + 9 ) + 8x( 60x² + 32x + 9 ) - ( 60x² + 32x + 9 ) = 0

<=> ( 15x² + 8x - 1 )( 60x² + 32x + 9 ) = 0

<=> 15x² + 8x - 1 = 0

<=> 60x² + 32x + 9 = 0

<=> x = (-4 + √31)/15

<=> x = (-4 - √31)/15

Answer 2

2x* 30x +1-1*2x*5x+1-1*2x*3x=10


60x+10x +6x=10
76x=10
x=76/10