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

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


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

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

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

Multiply (4 + x) * (4 + -1x)
3X + xX = (4(4 + -1x) + x(4 + -1x))
3X + xX = ((4 * 4 + -1x * 4) + x(4 + -1x))
3X + xX = ((16 + -4x) + x(4 + -1x))
3X + xX = (16 + -4x + (4 * x + -1x * x))
3X + xX = (16 + -4x + (4x + -1x2))

Combine like terms: -4x + 4x = 0
3X + xX = (16 + 0 + -1x2)
3X + xX = (16 + -1x2)

Solving
3X + xX = 16 + -1x2

Solving for variable 'X'.

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

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

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

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

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

The solution to this equation could not be determined.

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