(x^2+4x+4)(x^2-6x+9)=(-1)

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Solution for (x^2+4x+4)(x^2-6x+9)=(-1) equation: 


Simplifying
(x2 + 4x + 4)(x2 + -6x + 9) = (-1)

Reorder the terms:
(4 + 4x + x2)(x2 + -6x + 9) = (-1)

Reorder the terms:
(4 + 4x + x2)(9 + -6x + x2) = (-1)

Multiply (4 + 4x + x2) * (9 + -6x + x2)
(4(9 + -6x + x2) + 4x * (9 + -6x + x2) + x2(9 + -6x + x2)) = (-1)
((9 * 4 + -6x * 4 + x2 * 4) + 4x * (9 + -6x + x2) + x2(9 + -6x + x2)) = (-1)
((36 + -24x + 4x2) + 4x * (9 + -6x + x2) + x2(9 + -6x + x2)) = (-1)
(36 + -24x + 4x2 + (9 * 4x + -6x * 4x + x2 * 4x) + x2(9 + -6x + x2)) = (-1)
(36 + -24x + 4x2 + (36x + -24x2 + 4x3) + x2(9 + -6x + x2)) = (-1)
(36 + -24x + 4x2 + 36x + -24x2 + 4x3 + (9 * x2 + -6x * x2 + x2 * x2)) = (-1)
(36 + -24x + 4x2 + 36x + -24x2 + 4x3 + (9x2 + -6x3 + x4)) = (-1)

Reorder the terms:
(36 + -24x + 36x + 4x2 + -24x2 + 9x2 + 4x3 + -6x3 + x4) = (-1)

Combine like terms: -24x + 36x = 12x
(36 + 12x + 4x2 + -24x2 + 9x2 + 4x3 + -6x3 + x4) = (-1)

Combine like terms: 4x2 + -24x2 = -20x2
(36 + 12x + -20x2 + 9x2 + 4x3 + -6x3 + x4) = (-1)

Combine like terms: -20x2 + 9x2 = -11x2
(36 + 12x + -11x2 + 4x3 + -6x3 + x4) = (-1)

Combine like terms: 4x3 + -6x3 = -2x3
(36 + 12x + -11x2 + -2x3 + x4) = (-1)
36 + 12x + -11x2 + -2x3 + x4 = -1

Solving
36 + 12x + -11x2 + -2x3 + x4 = -1

Solving for variable 'x'.

Reorder the terms:
36 + 1 + 12x + -11x2 + -2x3 + x4 = -1 + 1

Combine like terms: 36 + 1 = 37
37 + 12x + -11x2 + -2x3 + x4 = -1 + 1

Combine like terms: -1 + 1 = 0
37 + 12x + -11x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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