Give step by step to solve this equation 2(x-3)²-32=0

Please Follow through my step-by-step tutorial till the end:

1.) First, move the number(s) to the other side. (algebra rules)

2(x-3)²-32+32=0+32

2(x-3)² = 32

2.) Next, divide every term by 2 to factor out the 2.

2(x-3)²/2 = 32/2

(x-3)² = 16

3.) Third, square root both sides (algebraic rules)

4.) Since the square root of 16 is both +4 and -4, we will have two answers. Next we split the equation in two forms.

(x-3) = 4                (x-3) = -4

x-3+3 = 4+3          x-3+3 = -4+3

x=7                        x=-1

5.) So we get two answers x= 7 and x= -1

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