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

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


Simplifying
(x + -5) * X(2x + 9) = 0

Reorder the terms:
(-5 + x) * X(2x + 9) = 0

Reorder the terms:
(-5 + x) * X(9 + 2x) = 0

Reorder the terms for easier multiplication:
X(-5 + x)(9 + 2x) = 0

Multiply (-5 + x) * (9 + 2x)
X(-5(9 + 2x) + x(9 + 2x)) = 0
X((9 * -5 + 2x * -5) + x(9 + 2x)) = 0
X((-45 + -10x) + x(9 + 2x)) = 0
X(-45 + -10x + (9 * x + 2x * x)) = 0
X(-45 + -10x + (9x + 2x2)) = 0

Combine like terms: -10x + 9x = -1x
X(-45 + -1x + 2x2) = 0
(-45 * X + -1x * X + 2x2 * X) = 0
(-45X + -1xX + 2x2X) = 0

Solving
-45X + -1xX + 2x2X = 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(-45 + -1x + 2x2) = 0

Factor a trinomial.
X((-9 + -2x)(5 + -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 '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 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 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Add '2x' to each side of the equation.
-2x + 2x = 9 + 2x

Combine like terms: -2x + 2x = 0
0 = 9 + 2x

Simplifying
0 = 9 + 2x

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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Add 'x' to each side of the equation.
-1x + x = -5 + x

Combine like terms: -1x + x = 0
0 = -5 + x

Simplifying
0 = -5 + 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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