(X-1)(x+11)(x-5)=0

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Solution for (X-1)(x+11)(x-5)=0 equation:


Simplifying
(X + -1)(x + 11)(x + -5) = 0

Reorder the terms:
(-1 + X)(x + 11)(x + -5) = 0

Reorder the terms:
(-1 + X)(11 + x)(x + -5) = 0

Reorder the terms:
(-1 + X)(11 + x)(-5 + x) = 0

Multiply (-1 + X) * (11 + x)
(-1(11 + x) + X(11 + x))(-5 + x) = 0
((11 * -1 + x * -1) + X(11 + x))(-5 + x) = 0
((-11 + -1x) + X(11 + x))(-5 + x) = 0
(-11 + -1x + (11 * X + x * X))(-5 + x) = 0
(-11 + -1x + (11X + xX))(-5 + x) = 0

Reorder the terms:
(-11 + 11X + -1x + xX)(-5 + x) = 0
(-11 + 11X + -1x + xX)(-5 + x) = 0

Multiply (-11 + 11X + -1x + xX) * (-5 + x)
(-11(-5 + x) + 11X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x)) = 0
((-5 * -11 + x * -11) + 11X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x)) = 0
((55 + -11x) + 11X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x)) = 0
(55 + -11x + (-5 * 11X + x * 11X) + -1x * (-5 + x) + xX(-5 + x)) = 0
(55 + -11x + (-55X + 11xX) + -1x * (-5 + x) + xX(-5 + x)) = 0
(55 + -11x + -55X + 11xX + (-5 * -1x + x * -1x) + xX(-5 + x)) = 0
(55 + -11x + -55X + 11xX + (5x + -1x2) + xX(-5 + x)) = 0
(55 + -11x + -55X + 11xX + 5x + -1x2 + (-5 * xX + x * xX)) = 0
(55 + -11x + -55X + 11xX + 5x + -1x2 + (-5xX + x2X)) = 0

Reorder the terms:
(55 + -55X + -11x + 5x + 11xX + -5xX + -1x2 + x2X) = 0

Combine like terms: -11x + 5x = -6x
(55 + -55X + -6x + 11xX + -5xX + -1x2 + x2X) = 0

Combine like terms: 11xX + -5xX = 6xX
(55 + -55X + -6x + 6xX + -1x2 + x2X) = 0

Solving
55 + -55X + -6x + 6xX + -1x2 + x2X = 0

Solving for variable 'X'.

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

Add '-55' to each side of the equation.
55 + -55X + -6x + 6xX + -1x2 + -55 + x2X = 0 + -55

Reorder the terms:
55 + -55 + -55X + -6x + 6xX + -1x2 + x2X = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -55X + -6x + 6xX + -1x2 + x2X = 0 + -55
-55X + -6x + 6xX + -1x2 + x2X = 0 + -55

Combine like terms: 0 + -55 = -55
-55X + -6x + 6xX + -1x2 + x2X = -55

Add '6x' to each side of the equation.
-55X + -6x + 6xX + -1x2 + 6x + x2X = -55 + 6x

Reorder the terms:
-55X + -6x + 6x + 6xX + -1x2 + x2X = -55 + 6x

Combine like terms: -6x + 6x = 0
-55X + 0 + 6xX + -1x2 + x2X = -55 + 6x
-55X + 6xX + -1x2 + x2X = -55 + 6x

Add 'x2' to each side of the equation.
-55X + 6xX + -1x2 + x2 + x2X = -55 + 6x + x2

Combine like terms: -1x2 + x2 = 0
-55X + 6xX + 0 + x2X = -55 + 6x + x2
-55X + 6xX + x2X = -55 + 6x + x2

Reorder the terms:
55 + -55X + -6x + 6xX + -1x2 + x2X = -55 + 6x + x2 + 55 + -6x + -1x2

Reorder the terms:
55 + -55X + -6x + 6xX + -1x2 + x2X = -55 + 55 + 6x + -6x + x2 + -1x2

Combine like terms: -55 + 55 = 0
55 + -55X + -6x + 6xX + -1x2 + x2X = 0 + 6x + -6x + x2 + -1x2
55 + -55X + -6x + 6xX + -1x2 + x2X = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
55 + -55X + -6x + 6xX + -1x2 + x2X = 0 + x2 + -1x2
55 + -55X + -6x + 6xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
55 + -55X + -6x + 6xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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