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Verified answer
1) (x + 6) (x + 3) = x(x + 8)x² + 9x + 18 = x² + 8x
x² - x² + 9x - 8x - 18 = 0
x - 18 = 0
x = 18
2) (x + 8) (x - 5) = x(x - 2)
x² + 3x - 40 = x² - 2x
x² - x² + 3x + 2x - 40 = 0
5x - 40 = 0
5x = 40
x = 40 : 5
x = 8
3) (6x - 5) (x + 3) = 2x(3x + 4)
6x² + 18x - 5x - 15 = 6x² + 8x
6x² - 6x² + 13x - 8x - 15 = 0
5x = 15
x = 15 : 5
x = 3
4) (5x + 7) (x - 2) = 5x(x - 1)
5x² - 10x + 7x - 14 = 5x² - 5x
5x² - 5x² - 3x + 5x - 14 = 0
2x = 14
x = 14 : 2
x = 7
5) (x + 2) (x+ 4) = (x + 3) (x + 5)
x² + 6x + 8 = x² + 8x + 15
x² - x² + 6x - 8x + 8 - 15 = 0
-2x - 7 = 0
2x = -7
x = -7/2
6) (x - 7) (x - 2) = (x + 9) (x - 6)
x² - 9x + 14 = x² + 2x - 54
x² - x² - 9x - 2x + 14 + 54 = 0
-11x + 68 = 0
11x = 68
x = 68/11
Verified answer