Alan

Here's a pictorial view:

Hmm!  Images are showing only as icons!  I hope this is temporary.

Yes, it was temporary - I can now see images again!

There are two complex solutions.  These can be found by using the quadratic formula or just enter them in the calculator on the home page here.

$${\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{{\mathtt{3}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{3}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.471\: \!404\: \!520\: \!791\: \!189\: \!8}}{i}\right)\\
{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.471\: \!404\: \!520\: \!791\: \!189\: \!8}}{i}\\
\end{array} \right\}$$

$${\frac{\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{27}}}}\right)}} = \left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right)$$

$$\left({\frac{{\mathtt{42}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{6}}}}\right) = \left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right)$$

$$\left({\frac{{\mathtt{42}}}{{\mathtt{6}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{27}}}{{\mathtt{9}}}}\right) = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{3}} = {\mathtt{21}}$$

Make the fraction 1400/2663, then multiply by 100 to turn it into a percentage.

$${\frac{{\mathtt{1\,400}}}{{\mathtt{2\,663}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\mathtt{52.572\: \!286\: \!894\: \!479\: \!909\: \!9}}$$ 

So 1400 is approximately 52.57% of 2663

(x + 9)² = x² if x = -4.5

I often call exponents powers as well.  However, we might need to be careful this doesn't confuse anyone when it comes to explaining PEMDAS, where the E is exponent, and P is parentheses not power!

This is set notation.  ∪ means union,  ∩ means intersection.

For example:  A ∪ B means everything in A and B;   A ∩ B means the things that are common to A and B.

PEMDAS

Parentheses first

Exponent second

Multiply and Divide third (doesn't matter which of these precedes the other)

Addition and Subtraction fourth (again doesn't matter which of these precedes the other)

So:

-3 + 2*(-1+4)^2     Parentheses

-3 + 2*3^2              Exponent

-3 + 2*9                  Multiplication

-3 + 18                    Addition

15

Yes. Weird!