Intermediate Algebra
Multiply by any convenient number first, then find the LCD only if needed, then check restrictions at the end if a solution appears
Clear denominators by canceling numerators arbitrarily, then factor denominators afterwards to find excluded values
Solve the polynomial formed after multiplying by the LCD and assume all algebraic roots are valid without verifying against the original equation
Determine restrictions by setting denominators to zero, factor denominators and find LCD, multiply every term by LCD, simplify and solve the resulting equation, then check candidate solutions against restrictions by substituting back