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

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


Simplifying
x2 + 2x + 3 = (x + 3)(x + 1)

Reorder the terms:
3 + 2x + x2 = (x + 3)(x + 1)

Reorder the terms:
3 + 2x + x2 = (3 + x)(x + 1)

Reorder the terms:
3 + 2x + x2 = (3 + x)(1 + x)

Multiply (3 + x) * (1 + x)
3 + 2x + x2 = (3(1 + x) + x(1 + x))
3 + 2x + x2 = ((1 * 3 + x * 3) + x(1 + x))
3 + 2x + x2 = ((3 + 3x) + x(1 + x))
3 + 2x + x2 = (3 + 3x + (1 * x + x * x))
3 + 2x + x2 = (3 + 3x + (1x + x2))

Combine like terms: 3x + 1x = 4x
3 + 2x + x2 = (3 + 4x + x2)

Add '-3' to each side of the equation.
3 + 2x + -3 + x2 = 3 + 4x + -3 + x2

Reorder the terms:
3 + -3 + 2x + x2 = 3 + 4x + -3 + x2

Combine like terms: 3 + -3 = 0
0 + 2x + x2 = 3 + 4x + -3 + x2
2x + x2 = 3 + 4x + -3 + x2

Reorder the terms:
2x + x2 = 3 + -3 + 4x + x2

Combine like terms: 3 + -3 = 0
2x + x2 = 0 + 4x + x2
2x + x2 = 4x + x2

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = 4x + x2 + -1x2
2x = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = 4x + 0
2x = 4x

Solving
2x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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