Explain why the equation (x - 4) ^ 2 - 28 = 8 has two solutions. Then solve the equation to find the solutions.

(x-4) ² - 28 = 8

= x² + 16 - 8x - 28 = 8

= x² - 8x - 12 = 8

= x² - 8x - 12 - 8 = 0

= x² - 8x - 20 = 0

= x² - 10x + 2x - 20 = 0

= x (x-10) + 2 (x-10) = 0

= (x-10) (x+2) = 0

either x = - 2 or x = 10, are the solutions of the given equations

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