(X-1)(x+1)(2x-5)=0

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Solution for (X-1)(x+1)(2x-5)=0 equation: 


Simplifying
(X + -1)(x + 1)(2x + -5) = 0

Reorder the terms:
(-1 + X)(x + 1)(2x + -5) = 0

Reorder the terms:
(-1 + X)(1 + x)(2x + -5) = 0

Reorder the terms:
(-1 + X)(1 + x)(-5 + 2x) = 0

Multiply (-1 + X) * (1 + x)
(-1(1 + x) + X(1 + x))(-5 + 2x) = 0
((1 * -1 + x * -1) + X(1 + x))(-5 + 2x) = 0
((-1 + -1x) + X(1 + x))(-5 + 2x) = 0
(-1 + -1x + (1 * X + x * X))(-5 + 2x) = 0
(-1 + -1x + (1X + xX))(-5 + 2x) = 0

Reorder the terms:
(-1 + 1X + -1x + xX)(-5 + 2x) = 0
(-1 + 1X + -1x + xX)(-5 + 2x) = 0

Multiply (-1 + 1X + -1x + xX) * (-5 + 2x)
(-1(-5 + 2x) + 1X * (-5 + 2x) + -1x * (-5 + 2x) + xX(-5 + 2x)) = 0
((-5 * -1 + 2x * -1) + 1X * (-5 + 2x) + -1x * (-5 + 2x) + xX(-5 + 2x)) = 0
((5 + -2x) + 1X * (-5 + 2x) + -1x * (-5 + 2x) + xX(-5 + 2x)) = 0
(5 + -2x + (-5 * 1X + 2x * 1X) + -1x * (-5 + 2x) + xX(-5 + 2x)) = 0
(5 + -2x + (-5X + 2xX) + -1x * (-5 + 2x) + xX(-5 + 2x)) = 0
(5 + -2x + -5X + 2xX + (-5 * -1x + 2x * -1x) + xX(-5 + 2x)) = 0
(5 + -2x + -5X + 2xX + (5x + -2x2) + xX(-5 + 2x)) = 0
(5 + -2x + -5X + 2xX + 5x + -2x2 + (-5 * xX + 2x * xX)) = 0
(5 + -2x + -5X + 2xX + 5x + -2x2 + (-5xX + 2x2X)) = 0

Reorder the terms:
(5 + -5X + -2x + 5x + 2xX + -5xX + -2x2 + 2x2X) = 0

Combine like terms: -2x + 5x = 3x
(5 + -5X + 3x + 2xX + -5xX + -2x2 + 2x2X) = 0

Combine like terms: 2xX + -5xX = -3xX
(5 + -5X + 3x + -3xX + -2x2 + 2x2X) = 0

Solving
5 + -5X + 3x + -3xX + -2x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -5X + 3x + -3xX + -2x2 + -5 + 2x2X = 0 + -5

Reorder the terms:
5 + -5 + -5X + 3x + -3xX + -2x2 + 2x2X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5X + 3x + -3xX + -2x2 + 2x2X = 0 + -5
-5X + 3x + -3xX + -2x2 + 2x2X = 0 + -5

Combine like terms: 0 + -5 = -5
-5X + 3x + -3xX + -2x2 + 2x2X = -5

Add '-3x' to each side of the equation.
-5X + 3x + -3xX + -2x2 + -3x + 2x2X = -5 + -3x

Reorder the terms:
-5X + 3x + -3x + -3xX + -2x2 + 2x2X = -5 + -3x

Combine like terms: 3x + -3x = 0
-5X + 0 + -3xX + -2x2 + 2x2X = -5 + -3x
-5X + -3xX + -2x2 + 2x2X = -5 + -3x

Add '2x2' to each side of the equation.
-5X + -3xX + -2x2 + 2x2 + 2x2X = -5 + -3x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-5X + -3xX + 0 + 2x2X = -5 + -3x + 2x2
-5X + -3xX + 2x2X = -5 + -3x + 2x2

Reorder the terms:
5 + -5X + 3x + -3xX + -2x2 + 2x2X = -5 + -3x + 2x2 + 5 + 3x + -2x2

Reorder the terms:
5 + -5X + 3x + -3xX + -2x2 + 2x2X = -5 + 5 + -3x + 3x + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
5 + -5X + 3x + -3xX + -2x2 + 2x2X = 0 + -3x + 3x + 2x2 + -2x2
5 + -5X + 3x + -3xX + -2x2 + 2x2X = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
5 + -5X + 3x + -3xX + -2x2 + 2x2X = 0 + 2x2 + -2x2
5 + -5X + 3x + -3xX + -2x2 + 2x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -5X + 3x + -3xX + -2x2 + 2x2X = 0

The solution to this equation could not be determined.

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