What are the solutions to the equation 3x^3-30x^2+63x=0 ?

The solutions to the equation 3x^3-30x^2+63x=0 are x=0,x=3,x=7

Find the zeros of 3x^3-30x^2+63x=0

The zeros of 3x^3-30x^2+63x=0 are x=0,x=3,x=7

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3 x^{3} - 30 x^{2} + 63 x = 0

x = 0, x = 3, x = 7

Solution steps

3 x^{3} - 30 x^{2} + 63 x = 0

Factor

3 x^{3} - 30 x^{2} + 63 x : 3 x (x - 3) (x - 7)

3 x (x - 3) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0 or x - 7 = 0

Solve

x - 3 = 0 : x = 3

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = 3, x = 7

x^{4} - 25 x + 144 = 0

(2 - x) \cdot (2 - x) \cdot (4 - x) = 0

x^{3} - 4 x - 4 = 0

0 = x^{3} + 64

20 x^{4} - 20 x^{3} = 0

What are the solutions to the equation 3x^3-30x^2+63x=0 ?
The solutions to the equation 3x^3-30x^2+63x=0 are x=0,x=3,x=7
Find the zeros of 3x^3-30x^2+63x=0
The zeros of 3x^3-30x^2+63x=0 are x=0,x=3,x=7