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

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


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

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

Multiply (2 + x) * (-9 + x)
X(2(-9 + x) + x(-9 + x)) = 0
X((-9 * 2 + x * 2) + x(-9 + x)) = 0
X((-18 + 2x) + x(-9 + x)) = 0
X(-18 + 2x + (-9 * x + x * x)) = 0
X(-18 + 2x + (-9x + x2)) = 0

Combine like terms: 2x + -9x = -7x
X(-18 + -7x + x2) = 0
(-18 * X + -7x * X + x2 * X) = 0
(-18X + -7xX + x2X) = 0

Solving
-18X + -7xX + x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-18 + -7x + x2) = 0

Factor a trinomial.
X((-2 + -1x)(9 + -1x)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Add 'x' to each side of the equation.
-1x + x = 2 + x

Combine like terms: -1x + x = 0
0 = 2 + x

Simplifying
0 = 2 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Add 'x' to each side of the equation.
-1x + x = -9 + x

Combine like terms: -1x + x = 0
0 = -9 + x

Simplifying
0 = -9 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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