What are the solutions to the equation 2t^3+t^2-10t=0 ?

The solutions to the equation 2t^3+t^2-10t=0 are t=0,t=2,t=-5/2

Find the zeros of 2t^3+t^2-10t=0

The zeros of 2t^3+t^2-10t=0 are t=0,t=2,t=-5/2

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2 t^{3} + t^{2} - 10 t = 0

t = 0, t = 2, t = - \frac{5}{2}

Decimal Notation

t = 0, t = 2, t = - 2.5

Solution steps

2 t^{3} + t^{2} - 10 t = 0

Factor

2 t^{3} + t^{2} - 10 t : t (t - 2) (2 t + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

t - 2 = 0 : t = 2

Solve

2 t + 5 = 0 : t = - \frac{5}{2}

The solutions are

t = 0, t = 2, t = - \frac{5}{2}

x^{2} (x + 1) + 4 (x + 1) = 0

2 x^{3} + 46 = 100

- x^{3} + 1 = 0

y^{3} + 64 = 0

(2 m^{2} + 7 m + 4) m = 0

What are the solutions to the equation 2t^3+t^2-10t=0 ?
The solutions to the equation 2t^3+t^2-10t=0 are t=0,t=2,t=-5/2
Find the zeros of 2t^3+t^2-10t=0
The zeros of 2t^3+t^2-10t=0 are t=0,t=2,t=-5/2