What are the solutions to the equation 5z^3+22z^2=15z ?

The solutions to the equation 5z^3+22z^2=15z are z=0,z= 3/5 ,z=-5

Find the zeros of 5z^3+22z^2=15z

The zeros of 5z^3+22z^2=15z are z=0,z= 3/5 ,z=-5

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5 z^{3} + 22 z^{2} = 15 z

z = 0, z = \frac{3}{5}, z = - 5

Solution steps

5 z^{3} + 22 z^{2} = 15 z

Move

15 z

to the left side

5 z^{3} + 22 z^{2} - 15 z = 0

Factor

5 z^{3} + 22 z^{2} - 15 z : z (5 z - 3) (z + 5)

z (5 z - 3) (z + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

z = 0 or 5 z - 3 = 0 or z + 5 = 0

Solve

5 z - 3 = 0 : z = \frac{3}{5}

Solve

z + 5 = 0 : z = - 5

The solutions are

z = 0, z = \frac{3}{5}, z = - 5

6 + x = x^{3}

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

x, x^{6} + 4 x^{3} + 16 = 0

x^{3} - 8 x + 7 = 0

b^{3} = 216

What are the solutions to the equation 5z^3+22z^2=15z ?
The solutions to the equation 5z^3+22z^2=15z are z=0,z= 3/5 ,z=-5
Find the zeros of 5z^3+22z^2=15z
The zeros of 5z^3+22z^2=15z are z=0,z= 3/5 ,z=-5