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 = 7x
X(10 + 7x + x2) = 0
(10 * X + 7x * X + x2 * X) = 0
(10X + 7xX + x2X) = 0

Solving
10X + 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(10 + 7x + x2) = 0

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

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

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

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

Simplifying
0 = -5 + -1x

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 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

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

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

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

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

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

Simplifying
0 = -2 + -1x

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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