What are the solutions to the equation 7z^3+30z^2=25z ?

The solutions to the equation 7z^3+30z^2=25z are z=0,z= 5/7 ,z=-5

Find the zeros of 7z^3+30z^2=25z

The zeros of 7z^3+30z^2=25z are z=0,z= 5/7 ,z=-5

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7 z^{3} + 30 z^{2} = 25 z

z = 0, z = \frac{5}{7}, z = - 5

Decimal Notation

z = 0, z = 0.71428 \dots, z = - 5

Solution steps

7 z^{3} + 30 z^{2} = 25 z

Move

25 z

to the left side

7 z^{3} + 30 z^{2} - 25 z = 0

Factor

7 z^{3} + 30 z^{2} - 25 z : z (7 z - 5) (z + 5)

z (7 z - 5) (z + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

z = 0 or 7 z - 5 = 0 or z + 5 = 0

Solve

7 z - 5 = 0 : z = \frac{5}{7}

Solve

z + 5 = 0 : z = - 5

The solutions are

z = 0, z = \frac{5}{7}, z = - 5

s^{3} + 9.5 s^{2} - 5 s = 0

1 - k^{4} = 0.4583

0 = 2 x^{3} + x^{2} - 5 x + 2

(x^{2} - 6 x + 10)^{2} = 0

x^{10} = 9 x^{8}

What are the solutions to the equation 7z^3+30z^2=25z ?
The solutions to the equation 7z^3+30z^2=25z are z=0,z= 5/7 ,z=-5
Find the zeros of 7z^3+30z^2=25z
The zeros of 7z^3+30z^2=25z are z=0,z= 5/7 ,z=-5