What are the solutions to the equation 36x^3-100x=0 ?

The solutions to the equation 36x^3-100x=0 are x=0,x=-5/3 ,x= 5/3

Find the zeros of 36x^3-100x=0

The zeros of 36x^3-100x=0 are x=0,x=-5/3 ,x= 5/3

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36 x^{3} - 100 x = 0

x = 0, x = - \frac{5}{3}, x = \frac{5}{3}

Decimal Notation

x = 0, x = - 1.66666 \dots, x = 1.66666 \dots

Solution steps

36 x^{3} - 100 x = 0

Factor

36 x^{3} - 100 x : 4 x (3 x + 5) (3 x - 5)

4 x (3 x + 5) (3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 5 = 0 or 3 x - 5 = 0

Solve

3 x + 5 = 0 : x = - \frac{5}{3}

Solve

3 x - 5 = 0 : x = \frac{5}{3}

The solutions are

x = 0, x = - \frac{5}{3}, x = \frac{5}{3}

x^{4} + 2 x^{3} - 2 x - 1 = 0

x^{7} + 5 x^{3} + 6 = 0

2 x^{3} + 3 x^{2} - 8 x - 12 = 0

x^{3} = 125 x^{6}

x^{4} + 16 x - 12 = 0

What are the solutions to the equation 36x^3-100x=0 ?
The solutions to the equation 36x^3-100x=0 are x=0,x=-5/3 ,x= 5/3
Find the zeros of 36x^3-100x=0
The zeros of 36x^3-100x=0 are x=0,x=-5/3 ,x= 5/3