What are the solutions to the equation (y^2+10y+21)(6y-24)=0 ?

The solutions to the equation (y^2+10y+21)(6y-24)=0 are y=-3,y=-7,y=4

Find the zeros of (y^2+10y+21)(6y-24)=0

The zeros of (y^2+10y+21)(6y-24)=0 are y=-3,y=-7,y=4

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(y^{2} + 10 y + 21) (6 y - 24) = 0

y = - 3, y = - 7, y = 4

Solution steps

(y^{2} + 10 y + 21) (6 y - 24) = 0

Factor

(y^{2} + 10 y + 21) (6 y - 24) : 6 (y + 3) (y + 7) (y - 4)

6 (y + 3) (y + 7) (y - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 3 = 0 or y + 7 = 0 or y - 4 = 0

Solve

y + 3 = 0 : y = - 3

Solve

y + 7 = 0 : y = - 7

Solve

y - 4 = 0 : y = 4

The solutions are

y = - 3, y = - 7, y = 4

- x^{3} + 9 x^{2} - 27 x + 27 = 0

3 (x^{3} + 8) (x + 5) = 0

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

p^{4} - 13 p^{2} + 36 = 0

27 d^{4} = 18 d^{2}

What are the solutions to the equation (y^2+10y+21)(6y-24)=0 ?
The solutions to the equation (y^2+10y+21)(6y-24)=0 are y=-3,y=-7,y=4
Find the zeros of (y^2+10y+21)(6y-24)=0
The zeros of (y^2+10y+21)(6y-24)=0 are y=-3,y=-7,y=4