(X-2)(x-4)(x+5)=0

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Solution for (X-2)(x-4)(x+5)=0 equation: 


Simplifying
(X + -2)(x + -4)(x + 5) = 0

Reorder the terms:
(-2 + X)(x + -4)(x + 5) = 0

Reorder the terms:
(-2 + X)(-4 + x)(x + 5) = 0

Reorder the terms:
(-2 + X)(-4 + x)(5 + x) = 0

Multiply (-2 + X) * (-4 + x)
(-2(-4 + x) + X(-4 + x))(5 + x) = 0
((-4 * -2 + x * -2) + X(-4 + x))(5 + x) = 0
((8 + -2x) + X(-4 + x))(5 + x) = 0
(8 + -2x + (-4 * X + x * X))(5 + x) = 0
(8 + -2x + (-4X + xX))(5 + x) = 0

Reorder the terms:
(8 + -4X + -2x + xX)(5 + x) = 0
(8 + -4X + -2x + xX)(5 + x) = 0

Multiply (8 + -4X + -2x + xX) * (5 + x)
(8(5 + x) + -4X * (5 + x) + -2x * (5 + x) + xX(5 + x)) = 0
((5 * 8 + x * 8) + -4X * (5 + x) + -2x * (5 + x) + xX(5 + x)) = 0
((40 + 8x) + -4X * (5 + x) + -2x * (5 + x) + xX(5 + x)) = 0
(40 + 8x + (5 * -4X + x * -4X) + -2x * (5 + x) + xX(5 + x)) = 0
(40 + 8x + (-20X + -4xX) + -2x * (5 + x) + xX(5 + x)) = 0
(40 + 8x + -20X + -4xX + (5 * -2x + x * -2x) + xX(5 + x)) = 0
(40 + 8x + -20X + -4xX + (-10x + -2x2) + xX(5 + x)) = 0
(40 + 8x + -20X + -4xX + -10x + -2x2 + (5 * xX + x * xX)) = 0
(40 + 8x + -20X + -4xX + -10x + -2x2 + (5xX + x2X)) = 0

Reorder the terms:
(40 + -20X + 8x + -10x + -4xX + 5xX + -2x2 + x2X) = 0

Combine like terms: 8x + -10x = -2x
(40 + -20X + -2x + -4xX + 5xX + -2x2 + x2X) = 0

Combine like terms: -4xX + 5xX = 1xX
(40 + -20X + -2x + 1xX + -2x2 + x2X) = 0

Solving
40 + -20X + -2x + 1xX + -2x2 + x2X = 0

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + -20X + -2x + 1xX + -2x2 + -40 + x2X = 0 + -40

Reorder the terms:
40 + -40 + -20X + -2x + 1xX + -2x2 + x2X = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -20X + -2x + 1xX + -2x2 + x2X = 0 + -40
-20X + -2x + 1xX + -2x2 + x2X = 0 + -40

Combine like terms: 0 + -40 = -40
-20X + -2x + 1xX + -2x2 + x2X = -40

Add '2x' to each side of the equation.
-20X + -2x + 1xX + -2x2 + 2x + x2X = -40 + 2x

Reorder the terms:
-20X + -2x + 2x + 1xX + -2x2 + x2X = -40 + 2x

Combine like terms: -2x + 2x = 0
-20X + 0 + 1xX + -2x2 + x2X = -40 + 2x
-20X + 1xX + -2x2 + x2X = -40 + 2x

Add '2x2' to each side of the equation.
-20X + 1xX + -2x2 + 2x2 + x2X = -40 + 2x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-20X + 1xX + 0 + x2X = -40 + 2x + 2x2
-20X + 1xX + x2X = -40 + 2x + 2x2

Reorder the terms:
40 + -20X + -2x + 1xX + -2x2 + x2X = -40 + 2x + 2x2 + 40 + -2x + -2x2

Reorder the terms:
40 + -20X + -2x + 1xX + -2x2 + x2X = -40 + 40 + 2x + -2x + 2x2 + -2x2

Combine like terms: -40 + 40 = 0
40 + -20X + -2x + 1xX + -2x2 + x2X = 0 + 2x + -2x + 2x2 + -2x2
40 + -20X + -2x + 1xX + -2x2 + x2X = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
40 + -20X + -2x + 1xX + -2x2 + x2X = 0 + 2x2 + -2x2
40 + -20X + -2x + 1xX + -2x2 + x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 + -20X + -2x + 1xX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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