What are the solutions to the equation 2x^3-30x^2+100x=0 ?

The solutions to the equation 2x^3-30x^2+100x=0 are x=0,x=5,x=10

Find the zeros of 2x^3-30x^2+100x=0

The zeros of 2x^3-30x^2+100x=0 are x=0,x=5,x=10

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2 x^{3} - 30 x^{2} + 100 x = 0

x = 0, x = 5, x = 10

Solution steps

2 x^{3} - 30 x^{2} + 100 x = 0

Factor

2 x^{3} - 30 x^{2} + 100 x : 2 x (x - 5) (x - 10)

2 x (x - 5) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0 or x - 10 = 0

Solve

x - 5 = 0 : x = 5

Solve

x - 10 = 0 : x = 10

The solutions are

x = 0, x = 5, x = 10

(x - 2)^{2} (x + 1)^{2} = 0

y, y^{3} = x^{2}

x^{5} = 25 x^{3}

x^{3} - 7 x^{2} + 16 x - 12 = 0

x^{6} + 56 x^{3} - 512 = 0

What are the solutions to the equation 2x^3-30x^2+100x=0 ?
The solutions to the equation 2x^3-30x^2+100x=0 are x=0,x=5,x=10
Find the zeros of 2x^3-30x^2+100x=0
The zeros of 2x^3-30x^2+100x=0 are x=0,x=5,x=10