X(x-4)+5=x^2-(x+3)

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Solution for X(x-4)+5=x^2-(x+3) equation:


Simplifying
X(x + -4) + 5 = x2 + -1(x + 3)

Reorder the terms:
X(-4 + x) + 5 = x2 + -1(x + 3)
(-4 * X + x * X) + 5 = x2 + -1(x + 3)
(-4X + xX) + 5 = x2 + -1(x + 3)

Reorder the terms:
5 + -4X + xX = x2 + -1(x + 3)

Reorder the terms:
5 + -4X + xX = x2 + -1(3 + x)
5 + -4X + xX = x2 + (3 * -1 + x * -1)
5 + -4X + xX = x2 + (-3 + -1x)

Reorder the terms:
5 + -4X + xX = -3 + -1x + x2

Solving
5 + -4X + xX = -3 + -1x + x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -4X + -5 + xX = -3 + -1x + -5 + x2

Reorder the terms:
5 + -5 + -4X + xX = -3 + -1x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + -4X + xX = -3 + -1x + -5 + x2
-4X + xX = -3 + -1x + -5 + x2

Reorder the terms:
-4X + xX = -3 + -5 + -1x + x2

Combine like terms: -3 + -5 = -8
-4X + xX = -8 + -1x + x2

Reorder the terms:
8 + -4X + x + xX + -1x2 = -8 + -1x + x2 + 8 + x + -1x2

Reorder the terms:
8 + -4X + x + xX + -1x2 = -8 + 8 + -1x + x + x2 + -1x2

Combine like terms: -8 + 8 = 0
8 + -4X + x + xX + -1x2 = 0 + -1x + x + x2 + -1x2
8 + -4X + x + xX + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
8 + -4X + x + xX + -1x2 = 0 + x2 + -1x2
8 + -4X + x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -4X + x + xX + -1x2 = 0

The solution to this equation could not be determined.

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