What are the solutions to the equation 5m^3-30m^2+25m=0 ?

The solutions to the equation 5m^3-30m^2+25m=0 are m=0,m=1,m=5

Find the zeros of 5m^3-30m^2+25m=0

The zeros of 5m^3-30m^2+25m=0 are m=0,m=1,m=5

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5 m^{3} - 30 m^{2} + 25 m = 0

m = 0, m = 1, m = 5

Solution steps

5 m^{3} - 30 m^{2} + 25 m = 0

Factor

5 m^{3} - 30 m^{2} + 25 m : 5 m (m - 1) (m - 5)

5 m (m - 1) (m - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m - 1 = 0 or m - 5 = 0

Solve

m - 1 = 0 : m = 1

Solve

m - 5 = 0 : m = 5

The solutions are

m = 0, m = 1, m = 5

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

x^{6} = 4096

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

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

- 247 b^{2} + 15 b^{4} = 0

What are the solutions to the equation 5m^3-30m^2+25m=0 ?
The solutions to the equation 5m^3-30m^2+25m=0 are m=0,m=1,m=5
Find the zeros of 5m^3-30m^2+25m=0
The zeros of 5m^3-30m^2+25m=0 are m=0,m=1,m=5