How to Simplify an Algebraic Equation in One Step?

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In summary, algebra is a branch of mathematics that focuses on equations, variables, and their relationships. Its purpose is to solve real-world problems by understanding the relationships between variables. The main difference between algebra and arithmetic is that algebra involves working with variables and unknowns, while arithmetic deals with concrete numbers and operations. The basic operations in algebra are addition, subtraction, multiplication, division, and exponentiation. To improve algebra skills, regular practice, seeking help from a tutor or teacher, and reviewing basic concepts and rules are recommended.
  • #1
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Could anyone explain how they made the jump from the highlighted parts? i.e how do you go from

2a(q-t) + at(q-t)(q+t) = 0 to
a(q-t)(2+t(q+t)) = 0

in one step
 
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  • #2
If you pull out a(q-t) from both terms of the summation in the first equation, what do you have left?
 
  • #3
thanks
 

FAQ: How to Simplify an Algebraic Equation in One Step?

What is algebra?

Algebra is a branch of mathematics that deals with equations, variables, and their relationships.

What is the purpose of algebra?

The purpose of algebra is to solve equations and understand the relationships between variables in order to solve real-world problems.

What is the difference between algebra and arithmetic?

Algebra involves working with variables and unknowns, while arithmetic deals with concrete numbers and operations.

What are the basic operations in algebra?

The basic operations in algebra are addition, subtraction, multiplication, division, and exponentiation.

How can I improve my algebra skills?

To improve your algebra skills, practice solving equations and problems regularly, seek help from a tutor or teacher, and review basic concepts and rules.

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