[(x-5)(x+3)+(2x+4)(x+1)](x+3)=

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Solution for [(x-5)(x+3)+(2x+4)(x+1)](x+3)= equation:


Simplifying
[(x + -5)(x + 3) + (2x + 4)(x + 1)](x + 3) = 0

Reorder the terms:
[(-5 + x)(x + 3) + (2x + 4)(x + 1)](x + 3) = 0

Reorder the terms:
[(-5 + x)(3 + x) + (2x + 4)(x + 1)](x + 3) = 0

Multiply (-5 + x) * (3 + x)
[(-5(3 + x) + x(3 + x)) + (2x + 4)(x + 1)](x + 3) = 0
[((3 * -5 + x * -5) + x(3 + x)) + (2x + 4)(x + 1)](x + 3) = 0
[((-15 + -5x) + x(3 + x)) + (2x + 4)(x + 1)](x + 3) = 0
[(-15 + -5x + (3 * x + x * x)) + (2x + 4)(x + 1)](x + 3) = 0
[(-15 + -5x + (3x + x2)) + (2x + 4)(x + 1)](x + 3) = 0

Combine like terms: -5x + 3x = -2x
[(-15 + -2x + x2) + (2x + 4)(x + 1)](x + 3) = 0

Reorder the terms:
[-15 + -2x + x2 + (4 + 2x)(x + 1)](x + 3) = 0

Reorder the terms:
[-15 + -2x + x2 + (4 + 2x)(1 + x)](x + 3) = 0

Multiply (4 + 2x) * (1 + x)
[-15 + -2x + x2 + (4(1 + x) + 2x * (1 + x))](x + 3) = 0
[-15 + -2x + x2 + ((1 * 4 + x * 4) + 2x * (1 + x))](x + 3) = 0
[-15 + -2x + x2 + ((4 + 4x) + 2x * (1 + x))](x + 3) = 0
[-15 + -2x + x2 + (4 + 4x + (1 * 2x + x * 2x))](x + 3) = 0
[-15 + -2x + x2 + (4 + 4x + (2x + 2x2))](x + 3) = 0

Combine like terms: 4x + 2x = 6x
[-15 + -2x + x2 + (4 + 6x + 2x2)](x + 3) = 0

Reorder the terms:
[-15 + 4 + -2x + 6x + x2 + 2x2](x + 3) = 0

Combine like terms: -15 + 4 = -11
[-11 + -2x + 6x + x2 + 2x2](x + 3) = 0

Combine like terms: -2x + 6x = 4x
[-11 + 4x + x2 + 2x2](x + 3) = 0

Combine like terms: x2 + 2x2 = 3x2
[-11 + 4x + 3x2](x + 3) = 0

Reorder the terms:
[-11 + 4x + 3x2](3 + x) = 0

Multiply [-11 + 4x + 3x2] * (3 + x)
[-11(3 + x) + 4x * (3 + x) + 3x2 * (3 + x)] = 0
[(3 * -11 + x * -11) + 4x * (3 + x) + 3x2 * (3 + x)] = 0
[(-33 + -11x) + 4x * (3 + x) + 3x2 * (3 + x)] = 0
[-33 + -11x + (3 * 4x + x * 4x) + 3x2 * (3 + x)] = 0
[-33 + -11x + (12x + 4x2) + 3x2 * (3 + x)] = 0
[-33 + -11x + 12x + 4x2 + (3 * 3x2 + x * 3x2)] = 0
[-33 + -11x + 12x + 4x2 + (9x2 + 3x3)] = 0

Combine like terms: -11x + 12x = 1x
[-33 + 1x + 4x2 + 9x2 + 3x3] = 0

Combine like terms: 4x2 + 9x2 = 13x2
[-33 + 1x + 13x2 + 3x3] = 0

Solving
-33 + 1x + 13x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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