Factoring 4s-4s^2=1

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the numerical equation:

4s - 4s^2 = 1

Factor the numerical equation.

Solution:

In order to factor the numerical equation, we simply need to look for the common values or the similar term. It can be seen that we both have 4s, hence the other one is squared. This means that we can factor out 4s from the equation.

 4s - 4s^2 = 1

4s( 1 - s) = 1

Solve for s.

4s = 1
Divide both sides by 4, in order to determine the value of s.
4s/4 = ¼
s = ¼

1 - s
Transpose -s to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
s = 1

Final answer:
s = 1
s = ¼

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