Step-by-Step Derivation

Follow a solution of $x^2+6x+5=0$ by completing the square. Reveal each transformation and see how KaTeX keeps the equations aligned as the derivation grows.

Source code

Reveal the reasoning

Step 1 of 6

Start with the quadratic

We will rewrite the left side as a perfect square so that we can take square roots.

Rendered result

\begin{aligned} x^2+6x+5 &= 0 \end{aligned}

TeX source

\begin{aligned}
x^2+6x+5 &= 0
\end{aligned}

Align a chain of equations

Place an ampersand before the relation you want to align, then separate lines with a double backslash. The aligned environment keeps these relations in one column. This example reveals prepared, valid steps; KaTeX handles their presentation. See the alignment environments for other multiline layouts.