What are the solutions to the equation x^2(x-9)+10x(x-9)+9(x-9)=0 ?

The solutions to the equation x^2(x-9)+10x(x-9)+9(x-9)=0 are x=9,x=-1,x=-9

Find the zeros of x^2(x-9)+10x(x-9)+9(x-9)=0

The zeros of x^2(x-9)+10x(x-9)+9(x-9)=0 are x=9,x=-1,x=-9

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x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) = 0

x = 9, x = - 1, x = - 9

Solution steps

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) = 0

Factor

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) : (x - 9) (x + 1) (x + 9)

(x - 9) (x + 1) (x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 9 = 0 or x + 1 = 0 or x + 9 = 0

Solve

x - 9 = 0 : x = 9

Solve

x + 1 = 0 : x = - 1

Solve

x + 9 = 0 : x = - 9

The solutions are

x = 9, x = - 1, x = - 9

x^{4} + 3 x^{2} = 0

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

36 t - t^{3} = 0

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

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

What are the solutions to the equation x^2(x-9)+10x(x-9)+9(x-9)=0 ?
The solutions to the equation x^2(x-9)+10x(x-9)+9(x-9)=0 are x=9,x=-1,x=-9
Find the zeros of x^2(x-9)+10x(x-9)+9(x-9)=0
The zeros of x^2(x-9)+10x(x-9)+9(x-9)=0 are x=9,x=-1,x=-9