(X+1)=(x+3)(x+1)

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Solution for (X+1)=(x+3)(x+1) equation:


Simplifying
(X + 1) = (x + 3)(x + 1)

Reorder the terms:
(1 + X) = (x + 3)(x + 1)

Remove parenthesis around (1 + X)
1 + X = (x + 3)(x + 1)

Reorder the terms:
1 + X = (3 + x)(x + 1)

Reorder the terms:
1 + X = (3 + x)(1 + x)

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

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

Solving
1 + X = 3 + 4x + x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + -1 + X = 3 + 4x + -1 + x2

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

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

Combine like terms: 3 + -1 = 2
X = 2 + 4x + x2

Simplifying
X = 2 + 4x + x2

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