Question

Решить уравнение 3x(4+-1)*(6x+1)=11x

Answer 1

$3x(4+12x)-(6x-1)(6x+1)=11x$

$12x+36x^{2}-(36x^{2}-1)=11x$

$12x+36x^{2}-36x^{2}+1=11x$

$12x+36x^{2}-36x^{2}+1-11x=0$

$(36x^{2}-36x^{2})+(12x-11x)+1=0$

$x+1=0$

$x=-1$

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$3\cdot(-1)\cdot(4+12\cdot(-1))-(6\cdot(-1)-1)\cdot(6\cdot(-1)+1)=11\cdot(-1)$ (это проверка)

$-3\cdot(4-12)-(-6-1)\cdot(-6+1)=-11$

$-3\cdot(-8)-(-7)\cdot(-5)=-11$

$24-35=-11$

$-11=-11$