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Solve this equation with steps so I understand
-16x^3+4x=0

1 Answer

5 votes
-16x^3+4x=0
-4x(4x^2 - 1) = 0
-4x(2x+1)(2x - 1) = 0 (factor using a^2 - b^2 = (a+b)(a-b))

-4x = 0; x =0
2x +1 = 0;x = -1/2
2x - 1 =0; x = 1/2

answer: x = 0, x = 1/2 and x = -1/2
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