(X^2+1x)(3x-15)=0

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Solution for (X^2+1x)(3x-15)=0 equation: 


Simplifying
(X2 + 1x)(3x + -15) = 0

Reorder the terms:
(X2 + 1x)(-15 + 3x) = 0

Multiply (X2 + 1x) * (-15 + 3x)
(X2(-15 + 3x) + 1x * (-15 + 3x)) = 0
((-15 * X2 + 3x * X2) + 1x * (-15 + 3x)) = 0
((-15X2 + 3xX2) + 1x * (-15 + 3x)) = 0
(-15X2 + 3xX2 + (-15 * 1x + 3x * 1x)) = 0
(-15X2 + 3xX2 + (-15x + 3x2)) = 0

Reorder the terms:
(-15X2 + -15x + 3xX2 + 3x2) = 0
(-15X2 + -15x + 3xX2 + 3x2) = 0

Solving
-15X2 + -15x + 3xX2 + 3x2 = 0

Solving for variable 'X'.

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

Add '15x' to each side of the equation.
-15X2 + -15x + 3xX2 + 15x + 3x2 = 0 + 15x

Reorder the terms:
-15X2 + -15x + 15x + 3xX2 + 3x2 = 0 + 15x

Combine like terms: -15x + 15x = 0
-15X2 + 0 + 3xX2 + 3x2 = 0 + 15x
-15X2 + 3xX2 + 3x2 = 0 + 15x
Remove the zero:
-15X2 + 3xX2 + 3x2 = 15x

Add '-3x2' to each side of the equation.
-15X2 + 3xX2 + 3x2 + -3x2 = 15x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15X2 + 3xX2 + 0 = 15x + -3x2
-15X2 + 3xX2 = 15x + -3x2

Reorder the terms:
-15X2 + -15x + 3xX2 + 3x2 = 15x + -3x2 + -15x + 3x2

Reorder the terms:
-15X2 + -15x + 3xX2 + 3x2 = 15x + -15x + -3x2 + 3x2

Combine like terms: 15x + -15x = 0
-15X2 + -15x + 3xX2 + 3x2 = 0 + -3x2 + 3x2
-15X2 + -15x + 3xX2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-15X2 + -15x + 3xX2 + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5X2 + -5x + xX2 + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5X2 + -5x + xX2 + x2)' equal to zero and attempt to solve:

Simplifying
-5X2 + -5x + xX2 + x2 = 0

Solving
-5X2 + -5x + xX2 + x2 = 0

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

Add '5x' to each side of the equation.
-5X2 + -5x + xX2 + 5x + x2 = 0 + 5x

Reorder the terms:
-5X2 + -5x + 5x + xX2 + x2 = 0 + 5x

Combine like terms: -5x + 5x = 0
-5X2 + 0 + xX2 + x2 = 0 + 5x
-5X2 + xX2 + x2 = 0 + 5x
Remove the zero:
-5X2 + xX2 + x2 = 5x

Add '-1x2' to each side of the equation.
-5X2 + xX2 + x2 + -1x2 = 5x + -1x2

Combine like terms: x2 + -1x2 = 0
-5X2 + xX2 + 0 = 5x + -1x2
-5X2 + xX2 = 5x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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