Question

x²+x(x-6)=0 helpppp​

Answer 1

$x^2+x.(x-6)~=~0\\\\\\x^2+x\,.\,x+x\,.\,(-6)~=~0\\\\\\x^2+x^2-6x~=~0\\\\\\\boxed{2x^2-6x~=~0}\\\\\\Temos~uma~equacao~incompleta~do~2^o~grau.\\\\\\2x^2-6x~=~0\\\\\\2x.(x-3)~=~0~~~~~~\rightarrow~~~~\left\{\begin{array}{ccc}2x&=&0\\\\x-3&=&0\end{array}\right\\\\\\Como~mostrado~acima,~temos~duas~solucoes~para~a~equacao.\\Vamos~determina\!-\!las:\\\\\\2x~=~0\\\\\\x~=~\frac{0}{2}\\\\\\\boxed{x~=~0}\\\\\\\\x-3~=~0\\\\\\x~=~0+3\\\\\\\boxed{x~=~3}$

$Resposta:~~S=\{x\in\mathbb{R}~|~x=0~~ou~~x=3\}$