What are the solutions to the equation 10x^4-20x^3-30x^2=0 ?

The solutions to the equation 10x^4-20x^3-30x^2=0 are x=0,x=-1,x=3

Find the zeros of 10x^4-20x^3-30x^2=0

The zeros of 10x^4-20x^3-30x^2=0 are x=0,x=-1,x=3

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10 x^{4} - 20 x^{3} - 30 x^{2} = 0

x = 0, x = - 1, x = 3

Solution steps

10 x^{4} - 20 x^{3} - 30 x^{2} = 0

Factor

10 x^{4} - 20 x^{3} - 30 x^{2} : 10 x^{2} (x + 1) (x - 3)

10 x^{2} (x + 1) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 1, x = 3

6 x^{2} - 2 x^{3} = 0

x^{3} - 5 x^{2} - 9 x + 45 = 0

x^{4} + 170 x^{2} + 169 = 0

2 x^{3} - 6 x^{2} + 4 = 0

7 x^{3} + 35 x^{2} - 112 x - 560 = 0

What are the solutions to the equation 10x^4-20x^3-30x^2=0 ?
The solutions to the equation 10x^4-20x^3-30x^2=0 are x=0,x=-1,x=3
Find the zeros of 10x^4-20x^3-30x^2=0
The zeros of 10x^4-20x^3-30x^2=0 are x=0,x=-1,x=3