What are the solutions to the equation 200m^4+80m^3+8m^2=0 ?

The solutions to the equation 200m^4+80m^3+8m^2=0 are m=0,m=-1/5

Find the zeros of 200m^4+80m^3+8m^2=0

The zeros of 200m^4+80m^3+8m^2=0 are m=0,m=-1/5

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200 m^{4} + 80 m^{3} + 8 m^{2} = 0

m = 0, m = - \frac{1}{5}

Decimal Notation

m = 0, m = - 0.2

Solution steps

200 m^{4} + 80 m^{3} + 8 m^{2} = 0

Factor

200 m^{4} + 80 m^{3} + 8 m^{2} : 8 m^{2} (5 m + 1)^{2}

8 m^{2} (5 m + 1)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or 5 m + 1 = 0

Solve

5 m + 1 = 0 : m = - \frac{1}{5}

The solutions are

m = 0, m = - \frac{1}{5}

x^{3} + 4 x^{2} - 4 x + 16 = 0

y^{3} + y = 10

(x + 2) (x - 2) (x + 1) (x - 1) + 5 x^{2} = 20

b^{6} = 7

x^{4} - 101 x^{2} + 100 = 0

What are the solutions to the equation 200m^4+80m^3+8m^2=0 ?
The solutions to the equation 200m^4+80m^3+8m^2=0 are m=0,m=-1/5
Find the zeros of 200m^4+80m^3+8m^2=0
The zeros of 200m^4+80m^3+8m^2=0 are m=0,m=-1/5