(a+1)*(a-3)x=(a+1)*(a+4)

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Solution for (a+1)*(a-3)x=(a+1)*(a+4) equation: 


Simplifying
(a + 1)(a + -3) * x = (a + 1)(a + 4)

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

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

Reorder the terms for easier multiplication:
x(1 + a)(-3 + a) = (a + 1)(a + 4)

Multiply (1 + a) * (-3 + a)
x(1(-3 + a) + a(-3 + a)) = (a + 1)(a + 4)
x((-3 * 1 + a * 1) + a(-3 + a)) = (a + 1)(a + 4)
x((-3 + 1a) + a(-3 + a)) = (a + 1)(a + 4)
x(-3 + 1a + (-3 * a + a * a)) = (a + 1)(a + 4)
x(-3 + 1a + (-3a + a2)) = (a + 1)(a + 4)

Combine like terms: 1a + -3a = -2a
x(-3 + -2a + a2) = (a + 1)(a + 4)
(-3 * x + -2a * x + a2 * x) = (a + 1)(a + 4)

Reorder the terms:
(-2ax + a2x + -3x) = (a + 1)(a + 4)
(-2ax + a2x + -3x) = (a + 1)(a + 4)

Reorder the terms:
-2ax + a2x + -3x = (1 + a)(a + 4)

Reorder the terms:
-2ax + a2x + -3x = (1 + a)(4 + a)

Multiply (1 + a) * (4 + a)
-2ax + a2x + -3x = (1(4 + a) + a(4 + a))
-2ax + a2x + -3x = ((4 * 1 + a * 1) + a(4 + a))
-2ax + a2x + -3x = ((4 + 1a) + a(4 + a))
-2ax + a2x + -3x = (4 + 1a + (4 * a + a * a))
-2ax + a2x + -3x = (4 + 1a + (4a + a2))

Combine like terms: 1a + 4a = 5a
-2ax + a2x + -3x = (4 + 5a + a2)

Solving
-2ax + a2x + -3x = 4 + 5a + a2

Solving for variable 'a'.

Reorder the terms:
-4 + -5a + -2ax + -1a2 + a2x + -3x = 4 + 5a + a2 + -4 + -5a + -1a2

Reorder the terms:
-4 + -5a + -2ax + -1a2 + a2x + -3x = 4 + -4 + 5a + -5a + a2 + -1a2

Combine like terms: 4 + -4 = 0
-4 + -5a + -2ax + -1a2 + a2x + -3x = 0 + 5a + -5a + a2 + -1a2
-4 + -5a + -2ax + -1a2 + a2x + -3x = 5a + -5a + a2 + -1a2

Combine like terms: 5a + -5a = 0
-4 + -5a + -2ax + -1a2 + a2x + -3x = 0 + a2 + -1a2
-4 + -5a + -2ax + -1a2 + a2x + -3x = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-4 + -5a + -2ax + -1a2 + a2x + -3x = 0

The solution to this equation could not be determined.

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