What are the solutions to the equation 15x^3+14x^2-8x=0 ?

The solutions to the equation 15x^3+14x^2-8x=0 are x=0,x= 2/5 ,x=-4/3

Find the zeros of 15x^3+14x^2-8x=0

The zeros of 15x^3+14x^2-8x=0 are x=0,x= 2/5 ,x=-4/3

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15 x^{3} + 14 x^{2} - 8 x = 0

x = 0, x = \frac{2}{5}, x = - \frac{4}{3}

Solution steps

15 x^{3} + 14 x^{2} - 8 x = 0

Factor

15 x^{3} + 14 x^{2} - 8 x : x (5 x - 2) (3 x + 4)

x (5 x - 2) (3 x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x - 2 = 0 or 3 x + 4 = 0

Solve

5 x - 2 = 0 : x = \frac{2}{5}

Solve

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

The solutions are

x = 0, x = \frac{2}{5}, x = - \frac{4}{3}

x^{3} - 9 x + 5 = 0

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

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

x (x + 1) (x^{2} - 36) = 0

x^{3} - 3 x^{2} - 50 = 0

What are the solutions to the equation 15x^3+14x^2-8x=0 ?
The solutions to the equation 15x^3+14x^2-8x=0 are x=0,x= 2/5 ,x=-4/3
Find the zeros of 15x^3+14x^2-8x=0
The zeros of 15x^3+14x^2-8x=0 are x=0,x= 2/5 ,x=-4/3