X^2-(x+1)(x+2)=5

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Solution for X^2-(x+1)(x+2)=5 equation: 


Simplifying
X2 + -1(x + 1)(x + 2) = 5

Reorder the terms:
X2 + -1(1 + x)(x + 2) = 5

Reorder the terms:
X2 + -1(1 + x)(2 + x) = 5

Multiply (1 + x) * (2 + x)
X2 + -1(1(2 + x) + x(2 + x)) = 5
X2 + -1((2 * 1 + x * 1) + x(2 + x)) = 5
X2 + -1((2 + 1x) + x(2 + x)) = 5
X2 + -1(2 + 1x + (2 * x + x * x)) = 5
X2 + -1(2 + 1x + (2x + x2)) = 5

Combine like terms: 1x + 2x = 3x
X2 + -1(2 + 3x + x2) = 5
X2 + (2 * -1 + 3x * -1 + x2 * -1) = 5
X2 + (-2 + -3x + -1x2) = 5

Reorder the terms:
-2 + X2 + -3x + -1x2 = 5

Solving
-2 + X2 + -3x + -1x2 = 5

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + -3x + 2 + -1x2 = 5 + 2

Reorder the terms:
-2 + 2 + X2 + -3x + -1x2 = 5 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + -3x + -1x2 = 5 + 2
X2 + -3x + -1x2 = 5 + 2

Combine like terms: 5 + 2 = 7
X2 + -3x + -1x2 = 7

Add '3x' to each side of the equation.
X2 + -3x + 3x + -1x2 = 7 + 3x

Combine like terms: -3x + 3x = 0
X2 + 0 + -1x2 = 7 + 3x
X2 + -1x2 = 7 + 3x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 7 + 3x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 7 + 3x + x2
X2 = 7 + 3x + x2

Simplifying
X2 = 7 + 3x + x2

Reorder the terms:
-7 + X2 + -3x + -1x2 = 7 + 3x + x2 + -7 + -3x + -1x2

Reorder the terms:
-7 + X2 + -3x + -1x2 = 7 + -7 + 3x + -3x + x2 + -1x2

Combine like terms: 7 + -7 = 0
-7 + X2 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-7 + X2 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-7 + X2 + -3x + -1x2 = 0 + x2 + -1x2
-7 + X2 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + X2 + -3x + -1x2 = 0

The solution to this equation could not be determined.

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