What are the solutions to the equation 2x(100x^2-9)(x^2-3)=0 ?

The solutions to the equation 2x(100x^2-9)(x^2-3)=0 are x=0,x=-3/10 ,x= 3/10 ,x=-sqrt(3),x=sqrt(3)

Find the zeros of 2x(100x^2-9)(x^2-3)=0

The zeros of 2x(100x^2-9)(x^2-3)=0 are x=0,x=-3/10 ,x= 3/10 ,x=-sqrt(3),x=sqrt(3)

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2 x (100 x^{2} - 9) (x^{2} - 3) = 0

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = - 3, x = 3

Decimal Notation

x = 0, x = - 0.3, x = 0.3, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

2 x (100 x^{2} - 9) (x^{2} - 3) = 0

Factor

2 x (100 x^{2} - 9) (x^{2} - 3) : 2 x (10 x + 3) (10 x - 3) (x + 3) (x - 3)

2 x (10 x + 3) (10 x - 3) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 10 x + 3 = 0 or 10 x - 3 = 0 or x + 3 = 0 or x - 3 = 0

Solve

10 x + 3 = 0 : x = - \frac{3}{10}

Solve

10 x - 3 = 0 : x = \frac{3}{10}

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = - 3, x = 3

0 = 4 x^{3} - 32

2 x (6 - x)^{3} - 3 x^{2} (6 - x)^{2} = 0

2 x^{4} = 1024 x

2 x^{3} - 1 = x^{6} - 1

x^{3} - 8 i = 0

What are the solutions to the equation 2x(100x^2-9)(x^2-3)=0 ?
The solutions to the equation 2x(100x^2-9)(x^2-3)=0 are x=0,x=-3/10 ,x= 3/10 ,x=-sqrt(3),x=sqrt(3)
Find the zeros of 2x(100x^2-9)(x^2-3)=0
The zeros of 2x(100x^2-9)(x^2-3)=0 are x=0,x=-3/10 ,x= 3/10 ,x=-sqrt(3),x=sqrt(3)