How can I solve equations analytically where the unknown?appears only once?

How can I solve equations analytically where the unknown?appears more than once?

• Sometimes it is possible to?simplify expressions?to make the?unknown appear only once
• Collect all terms?involving?x?on?one side?and try to simplify into one termHow can I solve equations analytically when the equation can't be simplified?

• Sometimes it is?not possible to simplify?equations
• Most of these equations?cannot be solved analytically
• A?special case?that can be solved is where the equation can be?transformed into a quadratic?using a substitution
  • These will have?three terms?and involve the same type of function
• Identify?the?suitable substitution?by considering which?function is a square of another

Can I divide both sides of an equation by an expression?

• When dividing by an expression you must consider whether the?expression could be zero
• Dividing by an expression that could be zero could result in you?losing solutions to the original equation

How can I solve equations graphically?

Why do I need to solve equations graphically?

• Some equations?cannot be solved analytically