What are the solutions to the equation 8t^2-4t^3=-60t ?

The solutions to the equation 8t^2-4t^3=-60t are t=0,t=-3,t=5

Find the zeros of 8t^2-4t^3=-60t

The zeros of 8t^2-4t^3=-60t are t=0,t=-3,t=5

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8 t^{2} - 4 t^{3} = - 60 t

t = 0, t = - 3, t = 5

Solution steps

8 t^{2} - 4 t^{3} = - 60 t

Move

60 t

to the left side

8 t^{2} - 4 t^{3} + 60 t = 0

Factor

8 t^{2} - 4 t^{3} + 60 t : - 4 t (t + 3) (t - 5)

- 4 t (t + 3) (t - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 3 = 0 or t - 5 = 0

Solve

t + 3 = 0 : t = - 3

Solve

t - 5 = 0 : t = 5

The solutions are

t = 0, t = - 3, t = 5

(x^{2} - 4) \cdot (x^{2} - 3 x + 1) = 0

x^{8} = \frac{1}{2}

x^{3} - 4 x^{2} - 6 x + 9 = 0

5 z^{2} - 45 = 8 z^{3} - 72 z

x^{3} - 9 x^{2} + 36 x - 36 = 0

What are the solutions to the equation 8t^2-4t^3=-60t ?
The solutions to the equation 8t^2-4t^3=-60t are t=0,t=-3,t=5
Find the zeros of 8t^2-4t^3=-60t
The zeros of 8t^2-4t^3=-60t are t=0,t=-3,t=5