Answer:
x = -11 or 1
Step-by-step explanation:
x² + 10x = 11
Subtract 11 from both sides
x² + 10x - 11 = 11-11
x² + 10x - 11 = 0
Factorise by finding 2 factors of -11 that the sum would be +10
+11 and -1 = +11 -1 = +10
Therefore we rewrite equation as
x² + 11x - x - 11 = 0
Facyorise
x(x + 11) -1(x + 11) = 0
(x + 11) (x - 1) = 0
(x + 11) =0 or x - 1 = 0
Therefore
x = -11 or x = 1
x = -11 or 1
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