(X+2)(x+3)=x^2+5x+6

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Solution for (X+2)(x+3)=x^2+5x+6 equation: 


Simplifying
(X + 2)(x + 3) = x2 + 5x + 6

Reorder the terms:
(2 + X)(x + 3) = x2 + 5x + 6

Reorder the terms:
(2 + X)(3 + x) = x2 + 5x + 6

Multiply (2 + X) * (3 + x)
(2(3 + x) + X(3 + x)) = x2 + 5x + 6
((3 * 2 + x * 2) + X(3 + x)) = x2 + 5x + 6
((6 + 2x) + X(3 + x)) = x2 + 5x + 6
(6 + 2x + (3 * X + x * X)) = x2 + 5x + 6
(6 + 2x + (3X + xX)) = x2 + 5x + 6

Reorder the terms:
(6 + 3X + 2x + xX) = x2 + 5x + 6
(6 + 3X + 2x + xX) = x2 + 5x + 6

Reorder the terms:
6 + 3X + 2x + xX = 6 + 5x + x2

Add '-6' to each side of the equation.
6 + 3X + 2x + -6 + xX = 6 + 5x + -6 + x2

Reorder the terms:
6 + -6 + 3X + 2x + xX = 6 + 5x + -6 + x2

Combine like terms: 6 + -6 = 0
0 + 3X + 2x + xX = 6 + 5x + -6 + x2
3X + 2x + xX = 6 + 5x + -6 + x2

Reorder the terms:
3X + 2x + xX = 6 + -6 + 5x + x2

Combine like terms: 6 + -6 = 0
3X + 2x + xX = 0 + 5x + x2
3X + 2x + xX = 5x + x2

Solving
3X + 2x + xX = 5x + x2

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
3X + 2x + -2x + xX = 5x + -2x + x2

Combine like terms: 2x + -2x = 0
3X + 0 + xX = 5x + -2x + x2
3X + xX = 5x + -2x + x2

Combine like terms: 5x + -2x = 3x
3X + xX = 3x + x2

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

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

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

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

The solution to this equation could not be determined.

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