What are the solutions to the equation 5y^3+33y^2=14y ?

The solutions to the equation 5y^3+33y^2=14y are y=0,y= 2/5 ,y=-7

Find the zeros of 5y^3+33y^2=14y

The zeros of 5y^3+33y^2=14y are y=0,y= 2/5 ,y=-7

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5 y^{3} + 33 y^{2} = 14 y

y = 0, y = \frac{2}{5}, y = - 7

Decimal Notation

y = 0, y = 0.4, y = - 7

Solution steps

5 y^{3} + 33 y^{2} = 14 y

Move

14 y

to the left side

5 y^{3} + 33 y^{2} - 14 y = 0

Factor

5 y^{3} + 33 y^{2} - 14 y : y (5 y - 2) (y + 7)

y (5 y - 2) (y + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or 5 y - 2 = 0 or y + 7 = 0

Solve

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

Solve

y + 7 = 0 : y = - 7

The solutions are

y = 0, y = \frac{2}{5}, y = - 7

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

20 x^{3} - 15 x = 3

(x^{2} - x - 3)^{2} - 2 (x^{2} - x) + 3 = 0

10 = x^{10}

r^{4} + 1 = 0

What are the solutions to the equation 5y^3+33y^2=14y ?
The solutions to the equation 5y^3+33y^2=14y are y=0,y= 2/5 ,y=-7
Find the zeros of 5y^3+33y^2=14y
The zeros of 5y^3+33y^2=14y are y=0,y= 2/5 ,y=-7