What are the solutions to the equation x^3+2x^2=36x+72 ?

The solutions to the equation x^3+2x^2=36x+72 are x=-2,x=-6,x=6

Find the zeros of x^3+2x^2=36x+72

The zeros of x^3+2x^2=36x+72 are x=-2,x=-6,x=6

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x^{3} + 2 x^{2} = 36 x + 72

x = - 2, x = - 6, x = 6

Solution steps

x^{3} + 2 x^{2} = 36 x + 72

Move

72

to the left side

x^{3} + 2 x^{2} - 72 = 36 x

Move

36 x

to the left side

x^{3} + 2 x^{2} - 72 - 36 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} + 2 x^{2} - 36 x - 72 = 0

Factor

x^{3} + 2 x^{2} - 36 x - 72 : (x + 2) (x + 6) (x - 6)

(x + 2) (x + 6) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x + 6 = 0 or x - 6 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 6 = 0 : x = - 6

Solve

x - 6 = 0 : x = 6

The solutions are

x = - 2, x = - 6, x = 6

9 x^{3} - 27 x^{2} - 25 x + 75 = 0

- 34 x^{3} - 21 x^{2} - 30 x = 0

(3 p - 4)^{6} = 64

x^{3} - x = 6

x + 1. 5^{2} + 9 x^{4} = 0

What are the solutions to the equation x^3+2x^2=36x+72 ?
The solutions to the equation x^3+2x^2=36x+72 are x=-2,x=-6,x=6
Find the zeros of x^3+2x^2=36x+72
The zeros of x^3+2x^2=36x+72 are x=-2,x=-6,x=6