(X-8)(x-2)=2x(x-5)

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Solution for (X-8)(x-2)=2x(x-5) equation: 


Simplifying
(X + -8)(x + -2) = 2x(x + -5)

Reorder the terms:
(-8 + X)(x + -2) = 2x(x + -5)

Reorder the terms:
(-8 + X)(-2 + x) = 2x(x + -5)

Multiply (-8 + X) * (-2 + x)
(-8(-2 + x) + X(-2 + x)) = 2x(x + -5)
((-2 * -8 + x * -8) + X(-2 + x)) = 2x(x + -5)
((16 + -8x) + X(-2 + x)) = 2x(x + -5)
(16 + -8x + (-2 * X + x * X)) = 2x(x + -5)
(16 + -8x + (-2X + xX)) = 2x(x + -5)

Reorder the terms:
(16 + -2X + -8x + xX) = 2x(x + -5)
(16 + -2X + -8x + xX) = 2x(x + -5)

Reorder the terms:
16 + -2X + -8x + xX = 2x(-5 + x)
16 + -2X + -8x + xX = (-5 * 2x + x * 2x)
16 + -2X + -8x + xX = (-10x + 2x2)

Solving
16 + -2X + -8x + xX = -10x + 2x2

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + -2X + -8x + -16 + xX = -10x + -16 + 2x2

Reorder the terms:
16 + -16 + -2X + -8x + xX = -10x + -16 + 2x2

Combine like terms: 16 + -16 = 0
0 + -2X + -8x + xX = -10x + -16 + 2x2
-2X + -8x + xX = -10x + -16 + 2x2

Reorder the terms:
-2X + -8x + xX = -16 + -10x + 2x2

Add '8x' to each side of the equation.
-2X + -8x + 8x + xX = -16 + -10x + 8x + 2x2

Combine like terms: -8x + 8x = 0
-2X + 0 + xX = -16 + -10x + 8x + 2x2
-2X + xX = -16 + -10x + 8x + 2x2

Combine like terms: -10x + 8x = -2x
-2X + xX = -16 + -2x + 2x2

Reorder the terms:
16 + -2X + 2x + xX + -2x2 = -16 + -2x + 2x2 + 16 + 2x + -2x2

Reorder the terms:
16 + -2X + 2x + xX + -2x2 = -16 + 16 + -2x + 2x + 2x2 + -2x2

Combine like terms: -16 + 16 = 0
16 + -2X + 2x + xX + -2x2 = 0 + -2x + 2x + 2x2 + -2x2
16 + -2X + 2x + xX + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
16 + -2X + 2x + xX + -2x2 = 0 + 2x2 + -2x2
16 + -2X + 2x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
16 + -2X + 2x + xX + -2x2 = 0

The solution to this equation could not be determined.

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