Question

x^2(2^x)-2^x=0

Answer 1

Hi there!
\(\Large \color{#662FFF}{\text{Welcome to OpenStudy! :)}}\)

\[\Large x^2\color{#3377BB}{2^x}-\color{#3377BB}{2^x}\quad=\quad 0\]If we factor a 2^x out of each term we get,\[\Large \color{#3377BB}{2^x}(x^2-1)\quad=\quad 0\]

Answer 2

We can set each factor equal to zero and then solve for x in each case,\[\Large \color{#3377BB}{2^x}\quad=\quad 0, \qquad\qquad\qquad x^2-1\quad=\quad0\]

Answer 3

thank you so much