What are the solutions to the equation (3y+18)(y^2-11y+30)=0 ?

The solutions to the equation (3y+18)(y^2-11y+30)=0 are y=-6,y=5,y=6

Find the zeros of (3y+18)(y^2-11y+30)=0

The zeros of (3y+18)(y^2-11y+30)=0 are y=-6,y=5,y=6

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(3 y + 18) (y^{2} - 11 y + 30) = 0

y = - 6, y = 5, y = 6

Solution steps

(3 y + 18) (y^{2} - 11 y + 30) = 0

Factor

(3 y + 18) (y^{2} - 11 y + 30) : 3 (y + 6) (y - 5) (y - 6)

3 (y + 6) (y - 5) (y - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 6 = 0 or y - 5 = 0 or y - 6 = 0

Solve

y + 6 = 0 : y = - 6

Solve

y - 5 = 0 : y = 5

Solve

y - 6 = 0 : y = 6

The solutions are

y = - 6, y = 5, y = 6

y, x^{2} + y^{3} = c

2 x^{3} + 13 x^{2} + 16 x + 5 = 0

r^{4} - 2 r^{2} + 1 = 0

x^{3} - 4 x - 2 = 1

x^{3} - 1 = 1

What are the solutions to the equation (3y+18)(y^2-11y+30)=0 ?
The solutions to the equation (3y+18)(y^2-11y+30)=0 are y=-6,y=5,y=6
Find the zeros of (3y+18)(y^2-11y+30)=0
The zeros of (3y+18)(y^2-11y+30)=0 are y=-6,y=5,y=6