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

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


Simplifying
(x + 4)(x + 2) = x + -1(1 + -1x2)

Reorder the terms:
(4 + x)(x + 2) = x + -1(1 + -1x2)

Reorder the terms:
(4 + x)(2 + x) = x + -1(1 + -1x2)

Multiply (4 + x) * (2 + x)
(4(2 + x) + x(2 + x)) = x + -1(1 + -1x2)
((2 * 4 + x * 4) + x(2 + x)) = x + -1(1 + -1x2)
((8 + 4x) + x(2 + x)) = x + -1(1 + -1x2)
(8 + 4x + (2 * x + x * x)) = x + -1(1 + -1x2)
(8 + 4x + (2x + x2)) = x + -1(1 + -1x2)

Combine like terms: 4x + 2x = 6x
(8 + 6x + x2) = x + -1(1 + -1x2)
8 + 6x + x2 = x + (1 * -1 + -1x2 * -1)
8 + 6x + x2 = x + (-1 + 1x2)

Reorder the terms:
8 + 6x + x2 = -1 + x + 1x2

Solving
8 + 6x + x2 = -1 + x + 1x2

Solving for variable 'x'.

Reorder the terms:
8 + 1 + 6x + -1x + x2 + -1x2 = -1 + x + 1x2 + 1 + -1x + -1x2

Combine like terms: 8 + 1 = 9
9 + 6x + -1x + x2 + -1x2 = -1 + x + 1x2 + 1 + -1x + -1x2

Combine like terms: 6x + -1x = 5x
9 + 5x + x2 + -1x2 = -1 + x + 1x2 + 1 + -1x + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 5x + 0 = -1 + x + 1x2 + 1 + -1x + -1x2
9 + 5x = -1 + x + 1x2 + 1 + -1x + -1x2

Reorder the terms:
9 + 5x = -1 + 1 + x + -1x + 1x2 + -1x2

Combine like terms: -1 + 1 = 0
9 + 5x = 0 + x + -1x + 1x2 + -1x2
9 + 5x = x + -1x + 1x2 + -1x2

Combine like terms: x + -1x = 0
9 + 5x = 0 + 1x2 + -1x2
9 + 5x = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
9 + 5x = 0

The solution to this equation could not be determined.

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