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

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


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

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

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

Multiply (4 + X) * (-4 + x)
(4(-4 + x) + X(-4 + x)) + -1(x + -3) * 2 = -1
((-4 * 4 + x * 4) + X(-4 + x)) + -1(x + -3) * 2 = -1
((-16 + 4x) + X(-4 + x)) + -1(x + -3) * 2 = -1
(-16 + 4x + (-4 * X + x * X)) + -1(x + -3) * 2 = -1
(-16 + 4x + (-4X + xX)) + -1(x + -3) * 2 = -1

Reorder the terms:
(-16 + -4X + 4x + xX) + -1(x + -3) * 2 = -1
(-16 + -4X + 4x + xX) + -1(x + -3) * 2 = -1

Reorder the terms:
-16 + -4X + 4x + xX + -1(-3 + x) * 2 = -1

Reorder the terms for easier multiplication:
-16 + -4X + 4x + xX + -1 * 2(-3 + x) = -1

Multiply -1 * 2
-16 + -4X + 4x + xX + -2(-3 + x) = -1
-16 + -4X + 4x + xX + (-3 * -2 + x * -2) = -1
-16 + -4X + 4x + xX + (6 + -2x) = -1

Reorder the terms:
-16 + 6 + -4X + 4x + -2x + xX = -1

Combine like terms: -16 + 6 = -10
-10 + -4X + 4x + -2x + xX = -1

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

Solving
-10 + -4X + 2x + xX = -1

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 + 2x + 10 + xX = -1 + 10

Reorder the terms:
-10 + 10 + -4X + 2x + xX = -1 + 10

Combine like terms: -10 + 10 = 0
0 + -4X + 2x + xX = -1 + 10
-4X + 2x + xX = -1 + 10

Combine like terms: -1 + 10 = 9
-4X + 2x + xX = 9

Add '-2x' to each side of the equation.
-4X + 2x + -2x + xX = 9 + -2x

Combine like terms: 2x + -2x = 0
-4X + 0 + xX = 9 + -2x
-4X + xX = 9 + -2x

Reorder the terms:
-9 + -4X + 2x + xX = 9 + -2x + -9 + 2x

Reorder the terms:
-9 + -4X + 2x + xX = 9 + -9 + -2x + 2x

Combine like terms: 9 + -9 = 0
-9 + -4X + 2x + xX = 0 + -2x + 2x
-9 + -4X + 2x + xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -4X + 2x + xX = 0

The solution to this equation could not be determined.

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