What are the solutions to the equation 2x^3+7x^2=15x ?

The solutions to the equation 2x^3+7x^2=15x are x=0,x= 3/2 ,x=-5

Find the zeros of 2x^3+7x^2=15x

The zeros of 2x^3+7x^2=15x are x=0,x= 3/2 ,x=-5

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2 x^{3} + 7 x^{2} = 15 x

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

Solution steps

2 x^{3} + 7 x^{2} = 15 x

Move

15 x

to the left side

2 x^{3} + 7 x^{2} - 15 x = 0

Factor

2 x^{3} + 7 x^{2} - 15 x : x (2 x - 3) (x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 5 = 0 : x = - 5

The solutions are

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

8 x^{3} - 4 x^{2} - 4 x + 1 = 0

x, z = (3 x + 2 y)^{5}

x^{4} - 25 x^{2} = - 100

2 x^{3} + 8 x^{2} - 24 x = 0

x^{3} - 8 x^{2} + 9 x + 18 = 0

What are the solutions to the equation 2x^3+7x^2=15x ?
The solutions to the equation 2x^3+7x^2=15x are x=0,x= 3/2 ,x=-5
Find the zeros of 2x^3+7x^2=15x
The zeros of 2x^3+7x^2=15x are x=0,x= 3/2 ,x=-5