Solve the quadratic by factoring. x^{2}-4x=-4x+4

Katherine Walls

Katherine Walls

Answered question

2021-12-13

Solve the quadratic by factoring.
x24x=4x+4

Answer & Explanation

braodagxj

braodagxj

Beginner2021-12-14Added 38 answers

Step 1
We have to solve the quadratic equation by factorization method:
x24x=4x+4
Rewriting the equation,
x24x=4x+4
x24x+4x4=0
x24=0
x222=0
We know the factorization formula,
a2b2=(ab)(a+b)
Step 2
Therefore,
x222=0
(x-2)(x+2)=0
Either,
x-2=0
x=2
or,
x+2=0
x=-2
Hence, solutions of the equation are x=-2, 2.
Mary Nicholson

Mary Nicholson

Beginner2021-12-15Added 38 answers

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