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(x - 1)(x + 1) = 4x - 5 x = ?

Question

(x - 1)(x + 1) = 4x - 5
x = ?

Explanation:

Step1: Expand left side

$(x-1)(x+1)=x^2-1$

Step2: Rearrange into standard quadratic form

$x^2-1-4x+5=0 \implies x^2-4x+4=0$

Step3: Factor the quadratic

$(x-2)^2=0$

Step4: Solve for x

$x-2=0 \implies x=2$

Answer:

$x=2$