(X)(2x+3)(2x+5)=

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Solution for (X)(2x+3)(2x+5)= equation: 


Simplifying
(X)(2x + 3)(2x + 5) = 0

Reorder the terms:
X(3 + 2x)(2x + 5) = 0

Reorder the terms:
X(3 + 2x)(5 + 2x) = 0

Multiply (3 + 2x) * (5 + 2x)
X(3(5 + 2x) + 2x * (5 + 2x)) = 0
X((5 * 3 + 2x * 3) + 2x * (5 + 2x)) = 0
X((15 + 6x) + 2x * (5 + 2x)) = 0
X(15 + 6x + (5 * 2x + 2x * 2x)) = 0
X(15 + 6x + (10x + 4x2)) = 0

Combine like terms: 6x + 10x = 16x
X(15 + 16x + 4x2) = 0
(15 * X + 16x * X + 4x2 * X) = 0
(15X + 16xX + 4x2X) = 0

Solving
15X + 16xX + 4x2X = 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(15 + 16x + 4x2) = 0

Factor a trinomial.
X((5 + 2x)(3 + 2x)) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Add '-2x' to each side of the equation.
2x + -2x = -3 + -2x

Combine like terms: 2x + -2x = 0
0 = -3 + -2x

Simplifying
0 = -3 + -2x

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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