What are the solutions to the equation 25x^3-16x=0 ?

The solutions to the equation 25x^3-16x=0 are x=0,x=-4/5 ,x= 4/5

Find the zeros of 25x^3-16x=0

The zeros of 25x^3-16x=0 are x=0,x=-4/5 ,x= 4/5

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25 x^{3} - 16 x = 0

x = 0, x = - \frac{4}{5}, x = \frac{4}{5}

Decimal Notation

x = 0, x = - 0.8, x = 0.8

Solution steps

25 x^{3} - 16 x = 0

Factor

25 x^{3} - 16 x : x (5 x + 4) (5 x - 4)

x (5 x + 4) (5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x + 4 = 0 or 5 x - 4 = 0

Solve

5 x + 4 = 0 : x = - \frac{4}{5}

Solve

5 x - 4 = 0 : x = \frac{4}{5}

The solutions are

x = 0, x = - \frac{4}{5}, x = \frac{4}{5}

25 x^{4} - 20 x^{2} + 3 = 0

x^{3} - 5 x^{2} - 6 x = 0

x^{3} + 5 x^{2} + 3 x - 9 = 0

2 x^{3} + 7 x^{2} + 50 x + 175 = 0

(x^{2} - x)^{2} = x^{2}

What are the solutions to the equation 25x^3-16x=0 ?
The solutions to the equation 25x^3-16x=0 are x=0,x=-4/5 ,x= 4/5
Find the zeros of 25x^3-16x=0
The zeros of 25x^3-16x=0 are x=0,x=-4/5 ,x= 4/5