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

x = 7

x = - 1

Step-by-step explanation:

2(x-3)²-32=0                      Add 32 to both sides

2(x-3)² - 32+32 = 32          Combine

2(x - 3)²  = 32                     Divide by 2

2(x - 3)² /2 = 32/2              Do the division

(x - 3)² = 16                         Take the square root of both sides

sqrt(x - 3)² = sqrt(16)           Do the square root.

x - 3 = +/- 4

x - 3 = 4                                Add 3 to both sides

x - 3+3 = 4+3

x = 7

x - 3 = - 4                            Add 3 to both sides

x -3 +3 = - 4 + 3                      

x = - 1