Solve 6(x-2) ^2 + 7 = 223

x = 8 or -4

Step-by-step explanation:

6(x - 2)² + 7 = 223

PEMDAS

expand (x - 2)² first using FOIL

(x - 2)(x - 2)

x² - 2x - 2x + 4

x² - 4x + 4

rewrite equation

6(x² - 4x + 4) + 7 = 223

distribute the 6 through the parentheses

6x² - 24x + 24

rewrite equation

6x² - 24x + 24 + 7 = 223

combine like terms

6x² - 24x + 31 = 223

subtract both sides by 223

6x² - 24x - 192 = 0

divide both sides by 6

x² - 4x - 32 = 0

factor with factoring X

x² - 8x + 4x - 32 = 0

factor by grouping

(x² - 8x) + (4x - 32) = 0

x(x - 8) +4 (x - 8) = 0

(x - 8)(x + 4) = 0

x = 8 or -4

x= -4,or x=8

Step-by-step explanation:

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