What are the solutions to the equation -60x^3+30x=0 ?

The solutions to the equation -60x^3+30x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

Find the zeros of -60x^3+30x=0

The zeros of -60x^3+30x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

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- 60 x^{3} + 30 x = 0

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

Decimal Notation

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Solution steps

- 60 x^{3} + 30 x = 0

Factor

- 60 x^{3} + 30 x : - 30 x (2 x + 1) (2 x - 1)

- 30 x (2 x + 1) (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

2 x - 1 = 0 : x = \frac{1}{2}

The solutions are

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

x^{5} + x^{3} + x = 2

x^{12} = 2

x^{3} + 3 x^{2} + 2 = 0

z^{4} = - 8 - 83 i

5 = x^{3}

What are the solutions to the equation -60x^3+30x=0 ?
The solutions to the equation -60x^3+30x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))
Find the zeros of -60x^3+30x=0
The zeros of -60x^3+30x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))