What are the solutions to the equation 15t^3-70t^2+40t=0 ?

The solutions to the equation 15t^3-70t^2+40t=0 are t=0,t= 2/3 ,t=4

Find the zeros of 15t^3-70t^2+40t=0

The zeros of 15t^3-70t^2+40t=0 are t=0,t= 2/3 ,t=4

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15 t^{3} - 70 t^{2} + 40 t = 0

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

Decimal Notation

t = 0, t = 0.66666 \dots, t = 4

Solution steps

15 t^{3} - 70 t^{2} + 40 t = 0

Factor

15 t^{3} - 70 t^{2} + 40 t : 5 t (3 t - 2) (t - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

3 t - 2 = 0 : t = \frac{2}{3}

Solve

t - 4 = 0 : t = 4

The solutions are

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

28 a^{12} = 56 a^{15}

\frac{x ^{13}}{3 ^{7}} = 3^{6}

x^{3} + 9 x^{2} + 18 x = 2168

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

(\frac{x + 2}{3})^{4} = 128

What are the solutions to the equation 15t^3-70t^2+40t=0 ?
The solutions to the equation 15t^3-70t^2+40t=0 are t=0,t= 2/3 ,t=4
Find the zeros of 15t^3-70t^2+40t=0
The zeros of 15t^3-70t^2+40t=0 are t=0,t= 2/3 ,t=4