(X+6)(x-4)+(x+6)(x-8)=0

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Solution for (X+6)(x-4)+(x+6)(x-8)=0 equation:


Simplifying
(X + 6)(x + -4) + (x + 6)(x + -8) = 0

Reorder the terms:
(6 + X)(x + -4) + (x + 6)(x + -8) = 0

Reorder the terms:
(6 + X)(-4 + x) + (x + 6)(x + -8) = 0

Multiply (6 + X) * (-4 + x)
(6(-4 + x) + X(-4 + x)) + (x + 6)(x + -8) = 0
((-4 * 6 + x * 6) + X(-4 + x)) + (x + 6)(x + -8) = 0
((-24 + 6x) + X(-4 + x)) + (x + 6)(x + -8) = 0
(-24 + 6x + (-4 * X + x * X)) + (x + 6)(x + -8) = 0
(-24 + 6x + (-4X + xX)) + (x + 6)(x + -8) = 0

Reorder the terms:
(-24 + -4X + 6x + xX) + (x + 6)(x + -8) = 0
(-24 + -4X + 6x + xX) + (x + 6)(x + -8) = 0

Reorder the terms:
-24 + -4X + 6x + xX + (6 + x)(x + -8) = 0

Reorder the terms:
-24 + -4X + 6x + xX + (6 + x)(-8 + x) = 0

Multiply (6 + x) * (-8 + x)
-24 + -4X + 6x + xX + (6(-8 + x) + x(-8 + x)) = 0
-24 + -4X + 6x + xX + ((-8 * 6 + x * 6) + x(-8 + x)) = 0
-24 + -4X + 6x + xX + ((-48 + 6x) + x(-8 + x)) = 0
-24 + -4X + 6x + xX + (-48 + 6x + (-8 * x + x * x)) = 0
-24 + -4X + 6x + xX + (-48 + 6x + (-8x + x2)) = 0

Combine like terms: 6x + -8x = -2x
-24 + -4X + 6x + xX + (-48 + -2x + x2) = 0

Reorder the terms:
-24 + -48 + -4X + 6x + -2x + xX + x2 = 0

Combine like terms: -24 + -48 = -72
-72 + -4X + 6x + -2x + xX + x2 = 0

Combine like terms: 6x + -2x = 4x
-72 + -4X + 4x + xX + x2 = 0

Solving
-72 + -4X + 4x + xX + x2 = 0

Solving for variable 'X'.

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

Add '72' to each side of the equation.
-72 + -4X + 4x + xX + 72 + x2 = 0 + 72

Reorder the terms:
-72 + 72 + -4X + 4x + xX + x2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -4X + 4x + xX + x2 = 0 + 72
-4X + 4x + xX + x2 = 0 + 72

Combine like terms: 0 + 72 = 72
-4X + 4x + xX + x2 = 72

Add '-4x' to each side of the equation.
-4X + 4x + xX + -4x + x2 = 72 + -4x

Reorder the terms:
-4X + 4x + -4x + xX + x2 = 72 + -4x

Combine like terms: 4x + -4x = 0
-4X + 0 + xX + x2 = 72 + -4x
-4X + xX + x2 = 72 + -4x

Add '-1x2' to each side of the equation.
-4X + xX + x2 + -1x2 = 72 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-4X + xX + 0 = 72 + -4x + -1x2
-4X + xX = 72 + -4x + -1x2

Reorder the terms:
-72 + -4X + 4x + xX + x2 = 72 + -4x + -1x2 + -72 + 4x + x2

Reorder the terms:
-72 + -4X + 4x + xX + x2 = 72 + -72 + -4x + 4x + -1x2 + x2

Combine like terms: 72 + -72 = 0
-72 + -4X + 4x + xX + x2 = 0 + -4x + 4x + -1x2 + x2
-72 + -4X + 4x + xX + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
-72 + -4X + 4x + xX + x2 = 0 + -1x2 + x2
-72 + -4X + 4x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-72 + -4X + 4x + xX + x2 = 0

The solution to this equation could not be determined.

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