What are the solutions to the equation x^3-24x=5x^2 ?

The solutions to the equation x^3-24x=5x^2 are x=0,x=-3,x=8

Find the zeros of x^3-24x=5x^2

The zeros of x^3-24x=5x^2 are x=0,x=-3,x=8

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x^{3} - 24 x = 5 x^{2}

x = 0, x = - 3, x = 8

Solution steps

x^{3} - 24 x = 5 x^{2}

Move

5 x^{2}

to the left side

x^{3} - 24 x - 5 x^{2} = 0

Factor

x^{3} - 24 x - 5 x^{2} : x (x + 3) (x - 8)

x (x + 3) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 8 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = - 3, x = 8

36 k^{3} + 48 k^{2} - 84 k - 112 = 0

r^{3} + 12 r^{2} - 60 r + 64 = 0

x, y^{4} = C x^{3} + 2

- 2 x^{4} + 7 = 3 x + 4

y^{4} - 7 y^{2} + 6 y^{1} = 0

What are the solutions to the equation x^3-24x=5x^2 ?
The solutions to the equation x^3-24x=5x^2 are x=0,x=-3,x=8
Find the zeros of x^3-24x=5x^2
The zeros of x^3-24x=5x^2 are x=0,x=-3,x=8