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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = -33 + 1x + 13x2 + 3x3

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