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

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


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

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

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

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

Combine like terms: -2x + 5x = 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((-5 + -1x)(2 + -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 '(-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.

Subproblem 3
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.
Solution
X = {0}

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