Question

x-3x(1-12x)=11-(5-6x)(6x+5)

Answer 1

$x-3x(1-12x)=11-(5-6x)(6x+5)$

 

$x-3x(1-12x)=11-(5-6x)(5+6x)$

 

$x-3x+36x^{2}=11-(25-36x^{2})$

 

$x-3x+36x^{2}=11-25+36x^{2}$

 

$11-25+36x^{2}-x+3x-36x^{2}=0$

 

$(36x^{2}-36x^{2})+(3x-x)+(11-25)=0$

 

$2x-14=0$

 

$2x=14$

 

$x=14:2$

 

$x=7$

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$7-3cdot7cdot(1-12cdot7)=11-(5-6cdot7)cdot(6cdot7+5)$ (это проверка)

 

$7-21cdot(1-84)=11-(5-42)cdot(42+5)$

 

$7-21cdot(-83)=11-(-37)cdot47$

 

$7+1743=11+37cdot47$

 

$1750=11+1739$

 

$1750=1750$