(X+4)(x-6)(x-5)=0

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Solution for (X+4)(x-6)(x-5)=0 equation: 


Simplifying
(X + 4)(x + -6)(x + -5) = 0

Reorder the terms:
(4 + X)(x + -6)(x + -5) = 0

Reorder the terms:
(4 + X)(-6 + x)(x + -5) = 0

Reorder the terms:
(4 + X)(-6 + x)(-5 + x) = 0

Multiply (4 + X) * (-6 + x)
(4(-6 + x) + X(-6 + x))(-5 + x) = 0
((-6 * 4 + x * 4) + X(-6 + x))(-5 + x) = 0
((-24 + 4x) + X(-6 + x))(-5 + x) = 0
(-24 + 4x + (-6 * X + x * X))(-5 + x) = 0
(-24 + 4x + (-6X + xX))(-5 + x) = 0

Reorder the terms:
(-24 + -6X + 4x + xX)(-5 + x) = 0
(-24 + -6X + 4x + xX)(-5 + x) = 0

Multiply (-24 + -6X + 4x + xX) * (-5 + x)
(-24(-5 + x) + -6X * (-5 + x) + 4x * (-5 + x) + xX(-5 + x)) = 0
((-5 * -24 + x * -24) + -6X * (-5 + x) + 4x * (-5 + x) + xX(-5 + x)) = 0
((120 + -24x) + -6X * (-5 + x) + 4x * (-5 + x) + xX(-5 + x)) = 0
(120 + -24x + (-5 * -6X + x * -6X) + 4x * (-5 + x) + xX(-5 + x)) = 0
(120 + -24x + (30X + -6xX) + 4x * (-5 + x) + xX(-5 + x)) = 0
(120 + -24x + 30X + -6xX + (-5 * 4x + x * 4x) + xX(-5 + x)) = 0
(120 + -24x + 30X + -6xX + (-20x + 4x2) + xX(-5 + x)) = 0
(120 + -24x + 30X + -6xX + -20x + 4x2 + (-5 * xX + x * xX)) = 0
(120 + -24x + 30X + -6xX + -20x + 4x2 + (-5xX + x2X)) = 0

Reorder the terms:
(120 + 30X + -24x + -20x + -6xX + -5xX + 4x2 + x2X) = 0

Combine like terms: -24x + -20x = -44x
(120 + 30X + -44x + -6xX + -5xX + 4x2 + x2X) = 0

Combine like terms: -6xX + -5xX = -11xX
(120 + 30X + -44x + -11xX + 4x2 + x2X) = 0

Solving
120 + 30X + -44x + -11xX + 4x2 + x2X = 0

Solving for variable 'X'.

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

Add '-120' to each side of the equation.
120 + 30X + -44x + -11xX + 4x2 + -120 + x2X = 0 + -120

Reorder the terms:
120 + -120 + 30X + -44x + -11xX + 4x2 + x2X = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 30X + -44x + -11xX + 4x2 + x2X = 0 + -120
30X + -44x + -11xX + 4x2 + x2X = 0 + -120

Combine like terms: 0 + -120 = -120
30X + -44x + -11xX + 4x2 + x2X = -120

Add '44x' to each side of the equation.
30X + -44x + -11xX + 4x2 + 44x + x2X = -120 + 44x

Reorder the terms:
30X + -44x + 44x + -11xX + 4x2 + x2X = -120 + 44x

Combine like terms: -44x + 44x = 0
30X + 0 + -11xX + 4x2 + x2X = -120 + 44x
30X + -11xX + 4x2 + x2X = -120 + 44x

Add '-4x2' to each side of the equation.
30X + -11xX + 4x2 + -4x2 + x2X = -120 + 44x + -4x2

Combine like terms: 4x2 + -4x2 = 0
30X + -11xX + 0 + x2X = -120 + 44x + -4x2
30X + -11xX + x2X = -120 + 44x + -4x2

Reorder the terms:
120 + 30X + -44x + -11xX + 4x2 + x2X = -120 + 44x + -4x2 + 120 + -44x + 4x2

Reorder the terms:
120 + 30X + -44x + -11xX + 4x2 + x2X = -120 + 120 + 44x + -44x + -4x2 + 4x2

Combine like terms: -120 + 120 = 0
120 + 30X + -44x + -11xX + 4x2 + x2X = 0 + 44x + -44x + -4x2 + 4x2
120 + 30X + -44x + -11xX + 4x2 + x2X = 44x + -44x + -4x2 + 4x2

Combine like terms: 44x + -44x = 0
120 + 30X + -44x + -11xX + 4x2 + x2X = 0 + -4x2 + 4x2
120 + 30X + -44x + -11xX + 4x2 + x2X = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
120 + 30X + -44x + -11xX + 4x2 + x2X = 0

The solution to this equation could not be determined.

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