What are the solutions to the equation 4t^3-12t^2-40t+20=20 ?

The solutions to the equation 4t^3-12t^2-40t+20=20 are t=0,t=-2,t=5

Find the zeros of 4t^3-12t^2-40t+20=20

The zeros of 4t^3-12t^2-40t+20=20 are t=0,t=-2,t=5

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4 t^{3} - 12 t^{2} - 40 t + 20 = 20

t = 0, t = - 2, t = 5

Solution steps

4 t^{3} - 12 t^{2} - 40 t + 20 = 20

Move

20

to the right side

4 t^{3} - 12 t^{2} - 40 t = 0

Factor

4 t^{3} - 12 t^{2} - 40 t : 4 t (t + 2) (t - 5)

4 t (t + 2) (t - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 2 = 0 or t - 5 = 0

Solve

t + 2 = 0 : t = - 2

Solve

t - 5 = 0 : t = 5

The solutions are

t = 0, t = - 2, t = 5

0.00075 = 7.5 x^{10}

4 x^{3} - 11 x^{2} - 4 x - 16 = 0

2 x^{4} = 0

x^{3} + 36 x = 0

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

What are the solutions to the equation 4t^3-12t^2-40t+20=20 ?
The solutions to the equation 4t^3-12t^2-40t+20=20 are t=0,t=-2,t=5
Find the zeros of 4t^3-12t^2-40t+20=20
The zeros of 4t^3-12t^2-40t+20=20 are t=0,t=-2,t=5