What are the solutions to the equation x^3+2x^2-11x=12 ?

The solutions to the equation x^3+2x^2-11x=12 are x=-1,x=3,x=-4

Find the zeros of x^3+2x^2-11x=12

The zeros of x^3+2x^2-11x=12 are x=-1,x=3,x=-4

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x^{3} + 2 x^{2} - 11 x = 12

x = - 1, x = 3, x = - 4

Solution steps

x^{3} + 2 x^{2} - 11 x = 12

Move

12

to the left side

x^{3} + 2 x^{2} - 11 x - 12 = 0

Factor

x^{3} + 2 x^{2} - 11 x - 12 : (x + 1) (x - 3) (x + 4)

(x + 1) (x - 3) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 3 = 0 or x + 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = - 1, x = 3, x = - 4

(5 x^{2} - 12 x - 9) (4 x + a) = 0

48 x^{3} - 64 x^{2} - 3 x + 4 = 0

(3 x + 2) (x + 9) (x - 2) = 0

15 x^{4} - 75 x^{2} + 60 = 0

x^{3} - 6 x^{2} + 11 x = 6

What are the solutions to the equation x^3+2x^2-11x=12 ?
The solutions to the equation x^3+2x^2-11x=12 are x=-1,x=3,x=-4
Find the zeros of x^3+2x^2-11x=12
The zeros of x^3+2x^2-11x=12 are x=-1,x=3,x=-4