x2 - 9x = -8
∴ x2 - 9x + 8 = 0
∴ (x - 1)(x - 8) = 0
You can then solve it as well:
∴ x ∈ {1, 8}
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x2 - 9x + 8 = (x-1)(x-8)
x2-9x+8=0 has two solutions:x = 8x = 1
x2+9x=-8 or x2+9x+8=0 (x+8)(x+1)=0 x=-8,-1 check answer: (-8)2+9(-8) = -8? and (-1)2+9(1) = -8? 64 - 72 is equal to -8. 1 - 9 is equal to -8. x= -8 and x= -1 are both solutions.
(x + 8)(x + 1)
9x - 8 = 46 9x = 46 +8 9x= 54 9x/9 = 54/9 x= 6