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Dominik Daniels
Mathematics
13 April, 12:01
X (x+9) (x-1) = 72. find x
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Javon Orr
13 April, 12:23
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X (x+9) (x-1) = 72
lets expand the equation:
(x^2 + 9x) (x - 1) = 72
x^3 - x^2 + 9x^2 - 9x - 72 = 0
x^3 + 8x^2 - 9x - 72 = 0
and factorize again:
x^2 (x + 8) - 9 (x + 8) = 0
(x + 8) (x^2 - 9) = 0
that is:
(x + 8) (x + 3) (x - 3) = 0
double check that x^2 - 9 = (x + 3) (x - 3), that is a subtraction of squares easily factorizable:
So we have:
(x + 8) (x + 3) (x - 3) = 0
which solutions are:
x = - 8, x = - 3, x = 3
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