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

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


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

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

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

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

Combine like terms: -5x + 2x = -3x
X(-10 + -3x + x2) = 0
(-10 * X + -3x * X + x2 * X) = 0
(-10X + -3xX + x2X) = 0

Solving
-10X + -3xX + 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(-10 + -3x + x2) = 0

Factor a trinomial.
X((-2 + -1x)(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 '(-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 '(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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