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

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


Simplifying
(X2 + -1x + 9)(x + -3) = 0

Reorder the terms:
(9 + X2 + -1x)(x + -3) = 0

Reorder the terms:
(9 + X2 + -1x)(-3 + x) = 0

Multiply (9 + X2 + -1x) * (-3 + x)
(9(-3 + x) + X2(-3 + x) + -1x * (-3 + x)) = 0
((-3 * 9 + x * 9) + X2(-3 + x) + -1x * (-3 + x)) = 0
((-27 + 9x) + X2(-3 + x) + -1x * (-3 + x)) = 0
(-27 + 9x + (-3 * X2 + x * X2) + -1x * (-3 + x)) = 0
(-27 + 9x + (-3X2 + xX2) + -1x * (-3 + x)) = 0
(-27 + 9x + -3X2 + xX2 + (-3 * -1x + x * -1x)) = 0
(-27 + 9x + -3X2 + xX2 + (3x + -1x2)) = 0

Reorder the terms:
(-27 + -3X2 + 9x + 3x + xX2 + -1x2) = 0

Combine like terms: 9x + 3x = 12x
(-27 + -3X2 + 12x + xX2 + -1x2) = 0

Solving
-27 + -3X2 + 12x + xX2 + -1x2 = 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 + -3X2 + 12x + xX2 + 27 + -1x2 = 0 + 27

Reorder the terms:
-27 + 27 + -3X2 + 12x + xX2 + -1x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -3X2 + 12x + xX2 + -1x2 = 0 + 27
-3X2 + 12x + xX2 + -1x2 = 0 + 27

Combine like terms: 0 + 27 = 27
-3X2 + 12x + xX2 + -1x2 = 27

Add '-12x' to each side of the equation.
-3X2 + 12x + xX2 + -12x + -1x2 = 27 + -12x

Reorder the terms:
-3X2 + 12x + -12x + xX2 + -1x2 = 27 + -12x

Combine like terms: 12x + -12x = 0
-3X2 + 0 + xX2 + -1x2 = 27 + -12x
-3X2 + xX2 + -1x2 = 27 + -12x

Add 'x2' to each side of the equation.
-3X2 + xX2 + -1x2 + x2 = 27 + -12x + x2

Combine like terms: -1x2 + x2 = 0
-3X2 + xX2 + 0 = 27 + -12x + x2
-3X2 + xX2 = 27 + -12x + x2

Reorder the terms:
-27 + -3X2 + 12x + xX2 + -1x2 = 27 + -12x + x2 + -27 + 12x + -1x2

Reorder the terms:
-27 + -3X2 + 12x + xX2 + -1x2 = 27 + -27 + -12x + 12x + x2 + -1x2

Combine like terms: 27 + -27 = 0
-27 + -3X2 + 12x + xX2 + -1x2 = 0 + -12x + 12x + x2 + -1x2
-27 + -3X2 + 12x + xX2 + -1x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
-27 + -3X2 + 12x + xX2 + -1x2 = 0 + x2 + -1x2
-27 + -3X2 + 12x + xX2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + -3X2 + 12x + xX2 + -1x2 = 0

The solution to this equation could not be determined.

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