(X-9)(x^2+5x+6)=0

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Solution for (X-9)(x^2+5x+6)=0 equation: 


Simplifying
(X + -9)(x2 + 5x + 6) = 0

Reorder the terms:
(-9 + X)(x2 + 5x + 6) = 0

Reorder the terms:
(-9 + X)(6 + 5x + x2) = 0

Multiply (-9 + X) * (6 + 5x + x2)
(-9(6 + 5x + x2) + X(6 + 5x + x2)) = 0
((6 * -9 + 5x * -9 + x2 * -9) + X(6 + 5x + x2)) = 0
((-54 + -45x + -9x2) + X(6 + 5x + x2)) = 0
(-54 + -45x + -9x2 + (6 * X + 5x * X + x2 * X)) = 0
(-54 + -45x + -9x2 + (6X + 5xX + x2X)) = 0

Reorder the terms:
(-54 + 6X + -45x + 5xX + -9x2 + x2X) = 0
(-54 + 6X + -45x + 5xX + -9x2 + x2X) = 0

Solving
-54 + 6X + -45x + 5xX + -9x2 + x2X = 0

Solving for variable 'X'.

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

Add '54' to each side of the equation.
-54 + 6X + -45x + 5xX + -9x2 + 54 + x2X = 0 + 54

Reorder the terms:
-54 + 54 + 6X + -45x + 5xX + -9x2 + x2X = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 6X + -45x + 5xX + -9x2 + x2X = 0 + 54
6X + -45x + 5xX + -9x2 + x2X = 0 + 54

Combine like terms: 0 + 54 = 54
6X + -45x + 5xX + -9x2 + x2X = 54

Add '45x' to each side of the equation.
6X + -45x + 5xX + -9x2 + 45x + x2X = 54 + 45x

Reorder the terms:
6X + -45x + 45x + 5xX + -9x2 + x2X = 54 + 45x

Combine like terms: -45x + 45x = 0
6X + 0 + 5xX + -9x2 + x2X = 54 + 45x
6X + 5xX + -9x2 + x2X = 54 + 45x

Add '9x2' to each side of the equation.
6X + 5xX + -9x2 + 9x2 + x2X = 54 + 45x + 9x2

Combine like terms: -9x2 + 9x2 = 0
6X + 5xX + 0 + x2X = 54 + 45x + 9x2
6X + 5xX + x2X = 54 + 45x + 9x2

Reorder the terms:
-54 + 6X + -45x + 5xX + -9x2 + x2X = 54 + 45x + 9x2 + -54 + -45x + -9x2

Reorder the terms:
-54 + 6X + -45x + 5xX + -9x2 + x2X = 54 + -54 + 45x + -45x + 9x2 + -9x2

Combine like terms: 54 + -54 = 0
-54 + 6X + -45x + 5xX + -9x2 + x2X = 0 + 45x + -45x + 9x2 + -9x2
-54 + 6X + -45x + 5xX + -9x2 + x2X = 45x + -45x + 9x2 + -9x2

Combine like terms: 45x + -45x = 0
-54 + 6X + -45x + 5xX + -9x2 + x2X = 0 + 9x2 + -9x2
-54 + 6X + -45x + 5xX + -9x2 + x2X = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-54 + 6X + -45x + 5xX + -9x2 + x2X = 0

The solution to this equation could not be determined.

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