(X-8)(2x+10)=(x+5)(x-1)

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Solution for (X-8)(2x+10)=(x+5)(x-1) equation: 


Simplifying
(X + -8)(2x + 10) = (x + 5)(x + -1)

Reorder the terms:
(-8 + X)(2x + 10) = (x + 5)(x + -1)

Reorder the terms:
(-8 + X)(10 + 2x) = (x + 5)(x + -1)

Multiply (-8 + X) * (10 + 2x)
(-8(10 + 2x) + X(10 + 2x)) = (x + 5)(x + -1)
((10 * -8 + 2x * -8) + X(10 + 2x)) = (x + 5)(x + -1)
((-80 + -16x) + X(10 + 2x)) = (x + 5)(x + -1)
(-80 + -16x + (10 * X + 2x * X)) = (x + 5)(x + -1)
(-80 + -16x + (10X + 2xX)) = (x + 5)(x + -1)

Reorder the terms:
(-80 + 10X + -16x + 2xX) = (x + 5)(x + -1)
(-80 + 10X + -16x + 2xX) = (x + 5)(x + -1)

Reorder the terms:
-80 + 10X + -16x + 2xX = (5 + x)(x + -1)

Reorder the terms:
-80 + 10X + -16x + 2xX = (5 + x)(-1 + x)

Multiply (5 + x) * (-1 + x)
-80 + 10X + -16x + 2xX = (5(-1 + x) + x(-1 + x))
-80 + 10X + -16x + 2xX = ((-1 * 5 + x * 5) + x(-1 + x))
-80 + 10X + -16x + 2xX = ((-5 + 5x) + x(-1 + x))
-80 + 10X + -16x + 2xX = (-5 + 5x + (-1 * x + x * x))
-80 + 10X + -16x + 2xX = (-5 + 5x + (-1x + x2))

Combine like terms: 5x + -1x = 4x
-80 + 10X + -16x + 2xX = (-5 + 4x + x2)

Solving
-80 + 10X + -16x + 2xX = -5 + 4x + x2

Solving for variable 'X'.

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

Add '80' to each side of the equation.
-80 + 10X + -16x + 80 + 2xX = -5 + 4x + 80 + x2

Reorder the terms:
-80 + 80 + 10X + -16x + 2xX = -5 + 4x + 80 + x2

Combine like terms: -80 + 80 = 0
0 + 10X + -16x + 2xX = -5 + 4x + 80 + x2
10X + -16x + 2xX = -5 + 4x + 80 + x2

Reorder the terms:
10X + -16x + 2xX = -5 + 80 + 4x + x2

Combine like terms: -5 + 80 = 75
10X + -16x + 2xX = 75 + 4x + x2

Add '16x' to each side of the equation.
10X + -16x + 16x + 2xX = 75 + 4x + 16x + x2

Combine like terms: -16x + 16x = 0
10X + 0 + 2xX = 75 + 4x + 16x + x2
10X + 2xX = 75 + 4x + 16x + x2

Combine like terms: 4x + 16x = 20x
10X + 2xX = 75 + 20x + x2

Reorder the terms:
-75 + 10X + -20x + 2xX + -1x2 = 75 + 20x + x2 + -75 + -20x + -1x2

Reorder the terms:
-75 + 10X + -20x + 2xX + -1x2 = 75 + -75 + 20x + -20x + x2 + -1x2

Combine like terms: 75 + -75 = 0
-75 + 10X + -20x + 2xX + -1x2 = 0 + 20x + -20x + x2 + -1x2
-75 + 10X + -20x + 2xX + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
-75 + 10X + -20x + 2xX + -1x2 = 0 + x2 + -1x2
-75 + 10X + -20x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-75 + 10X + -20x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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