(X+3)(x+2)=(x)(x+1)+46

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Solution for (X+3)(x+2)=(x)(x+1)+46 equation: 


Simplifying
(X + 3)(x + 2) = (x)(x + 1) + 46

Reorder the terms:
(3 + X)(x + 2) = (x)(x + 1) + 46

Reorder the terms:
(3 + X)(2 + x) = (x)(x + 1) + 46

Multiply (3 + X) * (2 + x)
(3(2 + x) + X(2 + x)) = (x)(x + 1) + 46
((2 * 3 + x * 3) + X(2 + x)) = (x)(x + 1) + 46
((6 + 3x) + X(2 + x)) = (x)(x + 1) + 46
(6 + 3x + (2 * X + x * X)) = (x)(x + 1) + 46
(6 + 3x + (2X + xX)) = (x)(x + 1) + 46

Reorder the terms:
(6 + 2X + 3x + xX) = (x)(x + 1) + 46
(6 + 2X + 3x + xX) = (x)(x + 1) + 46

Reorder the terms:
6 + 2X + 3x + xX = x(1 + x) + 46
6 + 2X + 3x + xX = (1 * x + x * x) + 46
6 + 2X + 3x + xX = (1x + x2) + 46

Reorder the terms:
6 + 2X + 3x + xX = 46 + 1x + x2

Solving
6 + 2X + 3x + xX = 46 + 1x + x2

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 2X + 3x + -6 + xX = 46 + 1x + -6 + x2

Reorder the terms:
6 + -6 + 2X + 3x + xX = 46 + 1x + -6 + x2

Combine like terms: 6 + -6 = 0
0 + 2X + 3x + xX = 46 + 1x + -6 + x2
2X + 3x + xX = 46 + 1x + -6 + x2

Reorder the terms:
2X + 3x + xX = 46 + -6 + 1x + x2

Combine like terms: 46 + -6 = 40
2X + 3x + xX = 40 + 1x + x2

Add '-3x' to each side of the equation.
2X + 3x + -3x + xX = 40 + 1x + -3x + x2

Combine like terms: 3x + -3x = 0
2X + 0 + xX = 40 + 1x + -3x + x2
2X + xX = 40 + 1x + -3x + x2

Combine like terms: 1x + -3x = -2x
2X + xX = 40 + -2x + x2

Reorder the terms:
-40 + 2X + 2x + xX + -1x2 = 40 + -2x + x2 + -40 + 2x + -1x2

Reorder the terms:
-40 + 2X + 2x + xX + -1x2 = 40 + -40 + -2x + 2x + x2 + -1x2

Combine like terms: 40 + -40 = 0
-40 + 2X + 2x + xX + -1x2 = 0 + -2x + 2x + x2 + -1x2
-40 + 2X + 2x + xX + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-40 + 2X + 2x + xX + -1x2 = 0 + x2 + -1x2
-40 + 2X + 2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-40 + 2X + 2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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