How do you solve 9(2m−3)2+8=449?
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9(2m-3)² + 8 = 449
=> 9[(2m)² + (3)² - 2×2m×3] + 8 = 449
=> 9[4m² + 9 - 12m] + 8 = 449
=> 9[4m² + 9 - 12m] = 449 - 8
=> 4m² + 9 - 12m = 441/9
=> 4m² + 9 - 12m = 49
=> 4m² + 9 - 12m - 49 = 0
=> 4m² - 12m - 40 = 0
=> 4m² - 20m + 8m - 40m = 0
=> 4m(m - 5) + 8(m - 5) = 0
=> (4m + 8)(m - 5) = 0
=> m = 5 , -8/4 = -2
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