x(5-x)=8-(X+3)(x-4)

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Solution for x(5-x)=8-(X+3)(x-4) equation: 


Simplifying
x(5 + -1x) = 8 + -1(X + 3)(x + -4)
(5 * x + -1x * x) = 8 + -1(X + 3)(x + -4)
(5x + -1x2) = 8 + -1(X + 3)(x + -4)

Reorder the terms:
5x + -1x2 = 8 + -1(3 + X)(x + -4)

Reorder the terms:
5x + -1x2 = 8 + -1(3 + X)(-4 + x)

Multiply (3 + X) * (-4 + x)
5x + -1x2 = 8 + -1(3(-4 + x) + X(-4 + x))
5x + -1x2 = 8 + -1((-4 * 3 + x * 3) + X(-4 + x))
5x + -1x2 = 8 + -1((-12 + 3x) + X(-4 + x))
5x + -1x2 = 8 + -1(-12 + 3x + (-4 * X + x * X))
5x + -1x2 = 8 + -1(-12 + 3x + (-4X + xX))

Reorder the terms:
5x + -1x2 = 8 + -1(-12 + -4X + 3x + xX)
5x + -1x2 = 8 + -1(-12 + -4X + 3x + xX)
5x + -1x2 = 8 + (-12 * -1 + -4X * -1 + 3x * -1 + xX * -1)
5x + -1x2 = 8 + (12 + 4X + -3x + -1xX)

Combine like terms: 8 + 12 = 20
5x + -1x2 = 20 + 4X + -3x + -1xX

Solving
5x + -1x2 = 20 + 4X + -3x + -1xX

Solving for variable 'x'.

Reorder the terms:
-20 + -4X + 5x + 3x + xX + -1x2 = 20 + 4X + -3x + -1xX + -20 + -4X + 3x + xX

Combine like terms: 5x + 3x = 8x
-20 + -4X + 8x + xX + -1x2 = 20 + 4X + -3x + -1xX + -20 + -4X + 3x + xX

Reorder the terms:
-20 + -4X + 8x + xX + -1x2 = 20 + -20 + 4X + -4X + -3x + 3x + -1xX + xX

Combine like terms: 20 + -20 = 0
-20 + -4X + 8x + xX + -1x2 = 0 + 4X + -4X + -3x + 3x + -1xX + xX
-20 + -4X + 8x + xX + -1x2 = 4X + -4X + -3x + 3x + -1xX + xX

Combine like terms: 4X + -4X = 0
-20 + -4X + 8x + xX + -1x2 = 0 + -3x + 3x + -1xX + xX
-20 + -4X + 8x + xX + -1x2 = -3x + 3x + -1xX + xX

Combine like terms: -3x + 3x = 0
-20 + -4X + 8x + xX + -1x2 = 0 + -1xX + xX
-20 + -4X + 8x + xX + -1x2 = -1xX + xX

Combine like terms: -1xX + xX = 0
-20 + -4X + 8x + xX + -1x2 = 0

The solution to this equation could not be determined.

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