(X-8)(x+6)=-8(x+4)

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Solution for (X-8)(x+6)=-8(x+4) equation:


Simplifying
(X + -8)(x + 6) = -8(x + 4)

Reorder the terms:
(-8 + X)(x + 6) = -8(x + 4)

Reorder the terms:
(-8 + X)(6 + x) = -8(x + 4)

Multiply (-8 + X) * (6 + x)
(-8(6 + x) + X(6 + x)) = -8(x + 4)
((6 * -8 + x * -8) + X(6 + x)) = -8(x + 4)
((-48 + -8x) + X(6 + x)) = -8(x + 4)
(-48 + -8x + (6 * X + x * X)) = -8(x + 4)
(-48 + -8x + (6X + xX)) = -8(x + 4)

Reorder the terms:
(-48 + 6X + -8x + xX) = -8(x + 4)
(-48 + 6X + -8x + xX) = -8(x + 4)

Reorder the terms:
-48 + 6X + -8x + xX = -8(4 + x)
-48 + 6X + -8x + xX = (4 * -8 + x * -8)
-48 + 6X + -8x + xX = (-32 + -8x)

Add '8x' to each side of the equation.
-48 + 6X + -8x + 8x + xX = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
-48 + 6X + 0 + xX = -32 + -8x + 8x
-48 + 6X + xX = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
-48 + 6X + xX = -32 + 0
-48 + 6X + xX = -32

Solving
-48 + 6X + xX = -32

Solving for variable 'X'.

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

Add '48' to each side of the equation.
-48 + 6X + 48 + xX = -32 + 48

Reorder the terms:
-48 + 48 + 6X + xX = -32 + 48

Combine like terms: -48 + 48 = 0
0 + 6X + xX = -32 + 48
6X + xX = -32 + 48

Combine like terms: -32 + 48 = 16
6X + xX = 16

Reorder the terms:
-16 + 6X + xX = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 6X + xX = 0

The solution to this equation could not be determined.

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