(X+5)(x-3)=x^2+1

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Solution for (X+5)(x-3)=x^2+1 equation: 


Simplifying
(X + 5)(x + -3) = x2 + 1

Reorder the terms:
(5 + X)(x + -3) = x2 + 1

Reorder the terms:
(5 + X)(-3 + x) = x2 + 1

Multiply (5 + X) * (-3 + x)
(5(-3 + x) + X(-3 + x)) = x2 + 1
((-3 * 5 + x * 5) + X(-3 + x)) = x2 + 1
((-15 + 5x) + X(-3 + x)) = x2 + 1
(-15 + 5x + (-3 * X + x * X)) = x2 + 1
(-15 + 5x + (-3X + xX)) = x2 + 1

Reorder the terms:
(-15 + -3X + 5x + xX) = x2 + 1
(-15 + -3X + 5x + xX) = x2 + 1

Reorder the terms:
-15 + -3X + 5x + xX = 1 + x2

Solving
-15 + -3X + 5x + xX = 1 + x2

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + -3X + 5x + 15 + xX = 1 + 15 + x2

Reorder the terms:
-15 + 15 + -3X + 5x + xX = 1 + 15 + x2

Combine like terms: -15 + 15 = 0
0 + -3X + 5x + xX = 1 + 15 + x2
-3X + 5x + xX = 1 + 15 + x2

Combine like terms: 1 + 15 = 16
-3X + 5x + xX = 16 + x2

Add '-5x' to each side of the equation.
-3X + 5x + -5x + xX = 16 + -5x + x2

Combine like terms: 5x + -5x = 0
-3X + 0 + xX = 16 + -5x + x2
-3X + xX = 16 + -5x + x2

Reorder the terms:
-16 + -3X + 5x + xX + -1x2 = 16 + -5x + x2 + -16 + 5x + -1x2

Reorder the terms:
-16 + -3X + 5x + xX + -1x2 = 16 + -16 + -5x + 5x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-16 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-16 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-16 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2
-16 + -3X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + -3X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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