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-3x⁵+30x³-75x=0
-3x(x⁴-10x²+25)=0
(a-b)²=a²-2ab+b²
-3x(x²-5)²=0
a²-b²=(a-b)(a+b)
-3x(x-√5)(x+√5)(x-√5)(x+√5)=0
x=0 v x=√5 v x=-√5
32x⁶-16x⁴+2x²=0
2x²(16x⁴-8x²+1)=0
2x²(4x²-1)²=0
2x²(2x-1)(2x+1)(2x-1)(2x+1)=0
x=0 v 2x-1=0 v 2x+1=0
x=1/2 x=-1/2
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-3x⁵+30x³-75x=0
-3x(x⁴-10x²+25)=0
(a-b)²=a²-2ab+b²
-3x(x²-5)²=0
a²-b²=(a-b)(a+b)
-3x(x-√5)(x+√5)(x-√5)(x+√5)=0
x=0 v x=√5 v x=-√5
32x⁶-16x⁴+2x²=0
2x²(16x⁴-8x²+1)=0
2x²(4x²-1)²=0
2x²(2x-1)(2x+1)(2x-1)(2x+1)=0
x=0 v 2x-1=0 v 2x+1=0
x=1/2 x=-1/2