(X-4)x(x-9)=0

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Solution for (X-4)x(x-9)=0 equation: 


Simplifying
(X + -4) * x(x + -9) = 0

Reorder the terms:
(-4 + X) * x(x + -9) = 0

Reorder the terms:
(-4 + X) * x(-9 + x) = 0

Reorder the terms for easier multiplication:
x(-4 + X)(-9 + x) = 0

Multiply (-4 + X) * (-9 + x)
x(-4(-9 + x) + X(-9 + x)) = 0
x((-9 * -4 + x * -4) + X(-9 + x)) = 0
x((36 + -4x) + X(-9 + x)) = 0
x(36 + -4x + (-9 * X + x * X)) = 0
x(36 + -4x + (-9X + xX)) = 0

Reorder the terms:
x(36 + -9X + -4x + xX) = 0
x(36 + -9X + -4x + xX) = 0
(36 * x + -9X * x + -4x * x + xX * x) = 0
(36x + -9xX + -4x2 + x2X) = 0

Solving
36x + -9xX + -4x2 + x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + -9X + -4x + xX) = 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 '(36 + -9X + -4x + xX)' equal to zero and attempt to solve:

Simplifying
36 + -9X + -4x + xX = 0

Solving
36 + -9X + -4x + xX = 0

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

Add '-36' to each side of the equation.
36 + -9X + -4x + -36 + xX = 0 + -36

Reorder the terms:
36 + -36 + -9X + -4x + xX = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -9X + -4x + xX = 0 + -36
-9X + -4x + xX = 0 + -36

Combine like terms: 0 + -36 = -36
-9X + -4x + xX = -36

Add '9X' to each side of the equation.
-9X + -4x + 9X + xX = -36 + 9X

Reorder the terms:
-9X + 9X + -4x + xX = -36 + 9X

Combine like terms: -9X + 9X = 0
0 + -4x + xX = -36 + 9X
-4x + xX = -36 + 9X

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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