(X-3)(x+1)(2x-9)=0

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Solution for (X-3)(x+1)(2x-9)=0 equation: 


Simplifying
(X + -3)(x + 1)(2x + -9) = 0

Reorder the terms:
(-3 + X)(x + 1)(2x + -9) = 0

Reorder the terms:
(-3 + X)(1 + x)(2x + -9) = 0

Reorder the terms:
(-3 + X)(1 + x)(-9 + 2x) = 0

Multiply (-3 + X) * (1 + x)
(-3(1 + x) + X(1 + x))(-9 + 2x) = 0
((1 * -3 + x * -3) + X(1 + x))(-9 + 2x) = 0
((-3 + -3x) + X(1 + x))(-9 + 2x) = 0
(-3 + -3x + (1 * X + x * X))(-9 + 2x) = 0
(-3 + -3x + (1X + xX))(-9 + 2x) = 0

Reorder the terms:
(-3 + 1X + -3x + xX)(-9 + 2x) = 0
(-3 + 1X + -3x + xX)(-9 + 2x) = 0

Multiply (-3 + 1X + -3x + xX) * (-9 + 2x)
(-3(-9 + 2x) + 1X * (-9 + 2x) + -3x * (-9 + 2x) + xX(-9 + 2x)) = 0
((-9 * -3 + 2x * -3) + 1X * (-9 + 2x) + -3x * (-9 + 2x) + xX(-9 + 2x)) = 0
((27 + -6x) + 1X * (-9 + 2x) + -3x * (-9 + 2x) + xX(-9 + 2x)) = 0
(27 + -6x + (-9 * 1X + 2x * 1X) + -3x * (-9 + 2x) + xX(-9 + 2x)) = 0
(27 + -6x + (-9X + 2xX) + -3x * (-9 + 2x) + xX(-9 + 2x)) = 0
(27 + -6x + -9X + 2xX + (-9 * -3x + 2x * -3x) + xX(-9 + 2x)) = 0
(27 + -6x + -9X + 2xX + (27x + -6x2) + xX(-9 + 2x)) = 0
(27 + -6x + -9X + 2xX + 27x + -6x2 + (-9 * xX + 2x * xX)) = 0
(27 + -6x + -9X + 2xX + 27x + -6x2 + (-9xX + 2x2X)) = 0

Reorder the terms:
(27 + -9X + -6x + 27x + 2xX + -9xX + -6x2 + 2x2X) = 0

Combine like terms: -6x + 27x = 21x
(27 + -9X + 21x + 2xX + -9xX + -6x2 + 2x2X) = 0

Combine like terms: 2xX + -9xX = -7xX
(27 + -9X + 21x + -7xX + -6x2 + 2x2X) = 0

Solving
27 + -9X + 21x + -7xX + -6x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-27' to each side of the equation.
27 + -9X + 21x + -7xX + -6x2 + -27 + 2x2X = 0 + -27

Reorder the terms:
27 + -27 + -9X + 21x + -7xX + -6x2 + 2x2X = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -9X + 21x + -7xX + -6x2 + 2x2X = 0 + -27
-9X + 21x + -7xX + -6x2 + 2x2X = 0 + -27

Combine like terms: 0 + -27 = -27
-9X + 21x + -7xX + -6x2 + 2x2X = -27

Add '-21x' to each side of the equation.
-9X + 21x + -7xX + -6x2 + -21x + 2x2X = -27 + -21x

Reorder the terms:
-9X + 21x + -21x + -7xX + -6x2 + 2x2X = -27 + -21x

Combine like terms: 21x + -21x = 0
-9X + 0 + -7xX + -6x2 + 2x2X = -27 + -21x
-9X + -7xX + -6x2 + 2x2X = -27 + -21x

Add '6x2' to each side of the equation.
-9X + -7xX + -6x2 + 6x2 + 2x2X = -27 + -21x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-9X + -7xX + 0 + 2x2X = -27 + -21x + 6x2
-9X + -7xX + 2x2X = -27 + -21x + 6x2

Reorder the terms:
27 + -9X + 21x + -7xX + -6x2 + 2x2X = -27 + -21x + 6x2 + 27 + 21x + -6x2

Reorder the terms:
27 + -9X + 21x + -7xX + -6x2 + 2x2X = -27 + 27 + -21x + 21x + 6x2 + -6x2

Combine like terms: -27 + 27 = 0
27 + -9X + 21x + -7xX + -6x2 + 2x2X = 0 + -21x + 21x + 6x2 + -6x2
27 + -9X + 21x + -7xX + -6x2 + 2x2X = -21x + 21x + 6x2 + -6x2

Combine like terms: -21x + 21x = 0
27 + -9X + 21x + -7xX + -6x2 + 2x2X = 0 + 6x2 + -6x2
27 + -9X + 21x + -7xX + -6x2 + 2x2X = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
27 + -9X + 21x + -7xX + -6x2 + 2x2X = 0

The solution to this equation could not be determined.

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