What is the answer to (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27 ?

The answer to (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27 is x=-5

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(x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27

(x + 2) (x + 3) (x - 1) = (x + 4) (x + 4) (x - 4) - 27

x = - 5

Solution steps

(x + 2) (x + 3) (x - 1) = (x + 4) (x + 4) (x - 4) - 27

Simplify

(x + 4) (x + 4) (x - 4) - 27 : (x + 4)^{2} (x - 4) - 27

(x + 2) (x + 3) (x - 1) = (x + 4)^{2} (x - 4) - 27

Expand

(x + 2) (x + 3) : x^{2} + 5 x + 6

(x^{2} + 5 x + 6) (x - 1) = (x + 4)^{2} (x - 4) - 27

Expand

(x^{2} + 5 x + 6) (x - 1) : x^{3} + 4 x^{2} + x - 6

x^{3} + 4 x^{2} + x - 6 = (x + 4)^{2} (x - 4) - 27

Expand

(x + 4)^{2} (x - 4) - 27 : x^{3} + 4 x^{2} - 16 x - 91

x^{3} + 4 x^{2} + x - 6 = x^{3} + 4 x^{2} - 16 x - 91

Move

6

to the right side

x^{3} + 4 x^{2} + x = x^{3} + 4 x^{2} - 16 x - 85

Subtract

x^{3} + 4 x^{2} - 16 x

from both sides

x^{3} + 4 x^{2} + x - (x^{3} + 4 x^{2} - 16 x) = x^{3} + 4 x^{2} - 16 x - 85 - (x^{3} + 4 x^{2} - 16 x)

Simplify

17 x = - 85

Divide both sides by

17

x = - 5

0.32 x = 3

415 + (164 - x) = 501

x, - 3 x - 9 y = 0

x, x + 10 y + 27 = y + 10 x

x, 15 x + 17 y = 241

What is the answer to (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27 ?
The answer to (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27 is x=-5
Solve for x: (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27
The solution is x=-5