How to Simplify an Algebraic Equation in One Step?

Thread starter phospho
Start date Jul 23, 2012
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Algebra

AI Thread Summary

To simplify the algebraic equation 2a(q-t) + at(q-t)(q+t) = 0 in one step, one can factor out a(q-t) from both terms. This results in a(q-t)(2 + t(q+t)) = 0. The key is recognizing that both terms share the common factor a(q-t). The remaining expression after factoring is 2 + t(q+t). Understanding this factoring technique is essential for simplifying similar algebraic equations efficiently. Mastering such steps can greatly enhance problem-solving skills in algebra.

Jul 23, 2012

phospho

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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Jul 23, 2012

skiller

If you pull out a(q-t) from both terms of the summation in the first equation, what do you have left?

Jul 23, 2012

phospho

thanks

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