What are the solutions to the equation 3x^3+30x^2-72x=0 ?

The solutions to the equation 3x^3+30x^2-72x=0 are x=0,x=2,x=-12

Find the zeros of 3x^3+30x^2-72x=0

The zeros of 3x^3+30x^2-72x=0 are x=0,x=2,x=-12

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3 x^{3} + 30 x^{2} - 72 x = 0

x = 0, x = 2, x = - 12

Solution steps

3 x^{3} + 30 x^{2} - 72 x = 0

Factor

3 x^{3} + 30 x^{2} - 72 x : 3 x (x - 2) (x + 12)

3 x (x - 2) (x + 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x + 12 = 0

Solve

x - 2 = 0 : x = 2

Solve

x + 12 = 0 : x = - 12

The solutions are

x = 0, x = 2, x = - 12

m^{3} = 10

u^{3} = 3

u^{3} = 2

4 a^{4} = 8 a^{3} - 8 a^{2}

x^{3} - 12 x^{2} + 49 x - 58 = 0

What are the solutions to the equation 3x^3+30x^2-72x=0 ?
The solutions to the equation 3x^3+30x^2-72x=0 are x=0,x=2,x=-12
Find the zeros of 3x^3+30x^2-72x=0
The zeros of 3x^3+30x^2-72x=0 are x=0,x=2,x=-12