Tap the blue circles to see an explanation.
$$ \begin{aligned}0.000362(x+21)(x+8)(x+8)(x-7)(x-9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(0x+0)(x+8)(x+8)(x-7)(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}(0x^2+0x+0x+0)(x+8)(x-7)(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}0(x+8)(x-7)(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}(0x+0)(x-7)(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}(0x^2+0x+0x+0)(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}0(x-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle7}{\textcircled {7}} } }}}0x+0 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle8}{\textcircled {8}} } }}}0\end{aligned} $$ | |
① | Multiply $ \color{blue}{0} $ by $ \left( x+21\right) $ $$ \color{blue}{0} \cdot \left( x+21\right) = 0x0 $$ |
② | Multiply each term of $ \left( \color{blue}{0x0}\right) $ by each term in $ \left( x+8\right) $. $$ \left( \color{blue}{0x0}\right) \cdot \left( x+8\right) = 0x^2 \cancel{0x} \cancel{0x}0 $$ |
③ | Combine like terms: $$ 0x^2 \, \color{blue}{ \cancel{0x}} \, \, \color{blue}{ \cancel{0x}} \,0 = 0 $$ |
④ | Multiply $ \color{blue}{0} $ by $ \left( x+8\right) $ $$ \color{blue}{0} \cdot \left( x+8\right) = 0x0 $$ |
⑤ | Multiply each term of $ \left( \color{blue}{0x0}\right) $ by each term in $ \left( x-7\right) $. $$ \left( \color{blue}{0x0}\right) \cdot \left( x-7\right) = 0x^2 \cancel{0x} \cancel{0x}0 $$ |
⑥ | Combine like terms: $$ 0x^2 \, \color{blue}{ \cancel{0x}} \, \, \color{blue}{ \cancel{0x}} \,0 = 0 $$ |
⑦ | Multiply $ \color{blue}{0} $ by $ \left( x-9\right) $ $$ \color{blue}{0} \cdot \left( x-9\right) = 0x0 $$ |
⑧ | Combine like terms: $$ 0 = 0 $$ |