x^2+4x+3=(x+3)(x+1)x

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Solution for x^2+4x+3=(x+3)(x+1)x equation:


Simplifying
x2 + 4x + 3 = (x + 3)(x + 1) * x

Reorder the terms:
3 + 4x + x2 = (x + 3)(x + 1) * x

Reorder the terms:
3 + 4x + x2 = (3 + x)(x + 1) * x

Reorder the terms:
3 + 4x + x2 = (3 + x)(1 + x) * x

Reorder the terms for easier multiplication:
3 + 4x + x2 = x(3 + x)(1 + x)

Multiply (3 + x) * (1 + x)
3 + 4x + x2 = x(3(1 + x) + x(1 + x))
3 + 4x + x2 = x((1 * 3 + x * 3) + x(1 + x))
3 + 4x + x2 = x((3 + 3x) + x(1 + x))
3 + 4x + x2 = x(3 + 3x + (1 * x + x * x))
3 + 4x + x2 = x(3 + 3x + (1x + x2))

Combine like terms: 3x + 1x = 4x
3 + 4x + x2 = x(3 + 4x + x2)
3 + 4x + x2 = (3 * x + 4x * x + x2 * x)
3 + 4x + x2 = (3x + 4x2 + x3)

Solving
3 + 4x + x2 = 3x + 4x2 + x3

Solving for variable 'x'.

Reorder the terms:
3 + 4x + -3x + x2 + -4x2 + -1x3 = 3x + 4x2 + x3 + -3x + -4x2 + -1x3

Combine like terms: 4x + -3x = 1x
3 + 1x + x2 + -4x2 + -1x3 = 3x + 4x2 + x3 + -3x + -4x2 + -1x3

Combine like terms: x2 + -4x2 = -3x2
3 + 1x + -3x2 + -1x3 = 3x + 4x2 + x3 + -3x + -4x2 + -1x3

Reorder the terms:
3 + 1x + -3x2 + -1x3 = 3x + -3x + 4x2 + -4x2 + x3 + -1x3

Combine like terms: 3x + -3x = 0
3 + 1x + -3x2 + -1x3 = 0 + 4x2 + -4x2 + x3 + -1x3
3 + 1x + -3x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4x2 + -4x2 = 0
3 + 1x + -3x2 + -1x3 = 0 + x3 + -1x3
3 + 1x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
3 + 1x + -3x2 + -1x3 = 0

The solution to this equation could not be determined.

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