What are the solutions to the equation 16x^2-60x-x^3=0 ?

The solutions to the equation 16x^2-60x-x^3=0 are x=0,x=6,x=10

Find the zeros of 16x^2-60x-x^3=0

The zeros of 16x^2-60x-x^3=0 are x=0,x=6,x=10

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16 x^{2} - 60 x - x^{3} = 0

x = 0, x = 6, x = 10

Solution steps

16 x^{2} - 60 x - x^{3} = 0

Factor

16 x^{2} - 60 x - x^{3} : - x (x - 6) (x - 10)

- x (x - 6) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0 or x - 10 = 0

Solve

x - 6 = 0 : x = 6

Solve

x - 10 = 0 : x = 10

The solutions are

x = 0, x = 6, x = 10

x^{4} - 53 x^{2} + 196 = 0

y^{6} + y = 0

4 x^{3} - 4 x^{2} - 25 x + 25 = 0

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

36 x^{3} + 24 x^{2} = - 4 x

What are the solutions to the equation 16x^2-60x-x^3=0 ?
The solutions to the equation 16x^2-60x-x^3=0 are x=0,x=6,x=10
Find the zeros of 16x^2-60x-x^3=0
The zeros of 16x^2-60x-x^3=0 are x=0,x=6,x=10