What are the solutions to the equation 6t^3-4t^2=16t ?

The solutions to the equation 6t^3-4t^2=16t are t=0,t=-4/3 ,t=2

Find the zeros of 6t^3-4t^2=16t

The zeros of 6t^3-4t^2=16t are t=0,t=-4/3 ,t=2

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6 t^{3} - 4 t^{2} = 16 t

t = 0, t = - \frac{4}{3}, t = 2

Decimal Notation

t = 0, t = - 1.33333 \dots, t = 2

Solution steps

6 t^{3} - 4 t^{2} = 16 t

Move

16 t

to the left side

6 t^{3} - 4 t^{2} - 16 t = 0

Factor

6 t^{3} - 4 t^{2} - 16 t : 2 t (3 t + 4) (t - 2)

2 t (3 t + 4) (t - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or 3 t + 4 = 0 or t - 2 = 0

Solve

3 t + 4 = 0 : t = - \frac{4}{3}

Solve

t - 2 = 0 : t = 2

The solutions are

t = 0, t = - \frac{4}{3}, t = 2

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

m^{3} = - 1000

x^{4} - x = 1

4350 = 45000 (1 - k)^{6}

(2 x^{2} - 5 x + 2) (2 x + c) = 0

What are the solutions to the equation 6t^3-4t^2=16t ?
The solutions to the equation 6t^3-4t^2=16t are t=0,t=-4/3 ,t=2
Find the zeros of 6t^3-4t^2=16t
The zeros of 6t^3-4t^2=16t are t=0,t=-4/3 ,t=2