# MultiplySides

MultiplySides[rel,x]

multiplies each side of the equation or inequality rel by x.

MultiplySides[rel1,rel2]

multiplies the corresponding sides of two equations or inequalities.

# Details and Options

• The relations rel can have any of the following forms:
•  lhs==rhs equations lhs!=rhs inequations lhs>rhs or lhs>=rhs inequalities ab>c≥… generalized inequalities
• The following options can be given:
•  Assumptions \$Assumptions assumptions on parameters GenerateConditions Automatic whether to generate conditions on parameters TimeConstraint 30 time allowed for simplifying conditions
• Possible settings for GenerateConditions include:
•  All return all possible answers using Piecewise Automatic return a condition only if it is not generically satisfied True return any condition that is needed False never return any needed conditions None return unevaluated if conditions are needed

# Examples

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## Basic Examples(3)

Multiply both sides of an equation by 3:

 In[1]:=
 Out[1]=

Multiply the corresponding sides of two equations:

 In[1]:=
 Out[1]=

Multiply both sides of an inequality by the number :

 In[1]:=
 Out[1]=