What are the solutions to the equation 4t^3-12t^2+8t=0 ?

The solutions to the equation 4t^3-12t^2+8t=0 are t=0,t=1,t=2

Find the zeros of 4t^3-12t^2+8t=0

The zeros of 4t^3-12t^2+8t=0 are t=0,t=1,t=2

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4 t^{3} - 12 t^{2} + 8 t = 0

t = 0, t = 1, t = 2

Solution steps

4 t^{3} - 12 t^{2} + 8 t = 0

Factor

4 t^{3} - 12 t^{2} + 8 t : 4 t (t - 1) (t - 2)

4 t (t - 1) (t - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t - 1 = 0 or t - 2 = 0

Solve

t - 1 = 0 : t = 1

Solve

t - 2 = 0 : t = 2

The solutions are

t = 0, t = 1, t = 2

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

- a^{3} + 3 a - 2 = 0

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

x^{3} - 7 x^{2} + 11 x + 3 = 0

x^{3} + 5 x^{2} + 2 x - 8 = 0

What are the solutions to the equation 4t^3-12t^2+8t=0 ?
The solutions to the equation 4t^3-12t^2+8t=0 are t=0,t=1,t=2
Find the zeros of 4t^3-12t^2+8t=0
The zeros of 4t^3-12t^2+8t=0 are t=0,t=1,t=2