So far all of the examples have contained only one ‘unknown’ variable, \(x\). It does seem rather complicated, so you can use a method known as ‘FOIL’ to help. In this case, you need to multiply each term in the first bracket by each term in the second bracket and add them all together, that is, multiply \(x\) by \(x\), \(x\) by 4, then \(x\) by 5, then 4 by 5. It is not simply a case of multiplying a set of brackets by a coefficient, as in the previous example, where you multiplied the whole bracket by 4. Each set of brackets contains more than one term. On the left hand side of the equation, we need to multiply (2\(x\) + 5) by (\(x\) + 4). If your equation has two sets of brackets (or more), which need to be multiplied together, then the process is more complicated, but follows a logical set of rules. Now you can solve the equation for \(x\). In this case, everything inside the brackets on the left hand side of the equation is multiplied by 4. If you have only a single set of brackets in your equation, the process is straightforward. This means that we need to work through the expression and remove the brackets in a logical way, according to some rules. To solve the equation, you may need to expand the brackets. In algebraic equations, you will often come across terms inside brackets (parentheses). Most importantly, it makes clear that these equations, like others, conform to rules, and that you can still manipulate them, as long as you remember to do the same thing to both sides of the equation. This page discusses more complex equations, including those involving fractions, and two particular problems that you may encounter: simultaneous equations and quadratic equations. Our page Introduction to Algebra explains how to solve straightforward equations with basic algebra. Understanding Statistical Distributions.Area, Surface Area and Volume Reference Sheet.Simple Transformations of 2-Dimensional Shapes.Polar, Cylindrical and Spherical Coordinates.Introduction to Cartesian Coordinate Systems.Introduction to Geometry: Points, Lines and Planes.Percentage Change | Increase and Decrease.Mental Arithmetic – Basic Mental Maths Hacks.Ordering Mathematical Operations - BODMAS.Common Mathematical Symbols and Terminology.Special Numbers and Mathematical Concepts.How Good Are Your Numeracy Skills? Numeracy Quiz.
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