(X+1)(x+4)-(x-3)2=83

Solution for (X+1)(x+4)-(x-3)2=83 equation:

Simplifying
(X + 1)(x + 4) + -1(x + -3) * 2 = 83

Reorder the terms:
(1 + X)(x + 4) + -1(x + -3) * 2 = 83

Reorder the terms:
(1 + X)(4 + x) + -1(x + -3) * 2 = 83

Multiply (1 + X) * (4 + x)
(1(4 + x) + X(4 + x)) + -1(x + -3) * 2 = 83
((4 * 1 + x * 1) + X(4 + x)) + -1(x + -3) * 2 = 83
((4 + 1x) + X(4 + x)) + -1(x + -3) * 2 = 83
(4 + 1x + (4 * X + x * X)) + -1(x + -3) * 2 = 83
(4 + 1x + (4X + xX)) + -1(x + -3) * 2 = 83

Reorder the terms:
(4 + 4X + 1x + xX) + -1(x + -3) * 2 = 83
(4 + 4X + 1x + xX) + -1(x + -3) * 2 = 83

Reorder the terms:
4 + 4X + 1x + xX + -1(-3 + x) * 2 = 83

Reorder the terms for easier multiplication:
4 + 4X + 1x + xX + -1 * 2(-3 + x) = 83

Multiply -1 * 2
4 + 4X + 1x + xX + -2(-3 + x) = 83
4 + 4X + 1x + xX + (-3 * -2 + x * -2) = 83
4 + 4X + 1x + xX + (6 + -2x) = 83

Reorder the terms:
4 + 6 + 4X + 1x + -2x + xX = 83

Combine like terms: 4 + 6 = 10
10 + 4X + 1x + -2x + xX = 83

Combine like terms: 1x + -2x = -1x
10 + 4X + -1x + xX = 83

Solving
10 + 4X + -1x + xX = 83

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + 4X + -1x + -10 + xX = 83 + -10

Reorder the terms:
10 + -10 + 4X + -1x + xX = 83 + -10

Combine like terms: 10 + -10 = 0
0 + 4X + -1x + xX = 83 + -10
4X + -1x + xX = 83 + -10

Combine like terms: 83 + -10 = 73
4X + -1x + xX = 73

Add 'x' to each side of the equation.
4X + -1x + x + xX = 73 + x

Combine like terms: -1x + x = 0
4X + 0 + xX = 73 + x
4X + xX = 73 + x

Reorder the terms:
-73 + 4X + -1x + xX = 73 + x + -73 + -1x

Reorder the terms:
-73 + 4X + -1x + xX = 73 + -73 + x + -1x

Combine like terms: 73 + -73 = 0
-73 + 4X + -1x + xX = 0 + x + -1x
-73 + 4X + -1x + xX = x + -1x

Combine like terms: x + -1x = 0
-73 + 4X + -1x + xX = 0

The solution to this equation could not be determined.