Solve the Factored Equation: (2+x)(2-x)=0

Solve:

(2+x)(2−x)=0 (2+x)(2-x)=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's find what zeroes all parentheses
00:07 Set equal to 0 and isolate X
00:12 Find the two solutions for X
00:17 This is one solution
00:26 And this is the second solution
00:30 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve:

(2+x)(2−x)=0 (2+x)(2-x)=0

2

Step-by-step solution

We use the abbreviated multiplication formula:

4−x2=0 4-x^2=0

We isolate the terms and extract the root:

4=x2 4=x^2

x=4 x=\sqrt{4}

x=±2 x=\pm2

3

Final Answer

±2

Practice Quiz

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Solve:

\( (2+x)(2-x)=0 \)

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