(2X^3-5X^2+4X)(2X^3+9X^2-13X)=

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Solution for (2X^3-5X^2+4X)(2X^3+9X^2-13X)= equation: 


Simplifying
(2X3 + -5X2 + 4X)(2X3 + 9X2 + -13X) = 0

Reorder the terms:
(4X + -5X2 + 2X3)(2X3 + 9X2 + -13X) = 0

Reorder the terms:
(4X + -5X2 + 2X3)(-13X + 9X2 + 2X3) = 0

Multiply (4X + -5X2 + 2X3) * (-13X + 9X2 + 2X3)
(4X * (-13X + 9X2 + 2X3) + -5X2 * (-13X + 9X2 + 2X3) + 2X3 * (-13X + 9X2 + 2X3)) = 0
((-13X * 4X + 9X2 * 4X + 2X3 * 4X) + -5X2 * (-13X + 9X2 + 2X3) + 2X3 * (-13X + 9X2 + 2X3)) = 0
((-52X2 + 36X3 + 8X4) + -5X2 * (-13X + 9X2 + 2X3) + 2X3 * (-13X + 9X2 + 2X3)) = 0
(-52X2 + 36X3 + 8X4 + (-13X * -5X2 + 9X2 * -5X2 + 2X3 * -5X2) + 2X3 * (-13X + 9X2 + 2X3)) = 0
(-52X2 + 36X3 + 8X4 + (65X3 + -45X4 + -10X5) + 2X3 * (-13X + 9X2 + 2X3)) = 0
(-52X2 + 36X3 + 8X4 + 65X3 + -45X4 + -10X5 + (-13X * 2X3 + 9X2 * 2X3 + 2X3 * 2X3)) = 0
(-52X2 + 36X3 + 8X4 + 65X3 + -45X4 + -10X5 + (-26X4 + 18X5 + 4X6)) = 0

Reorder the terms:
(-52X2 + 36X3 + 65X3 + 8X4 + -45X4 + -26X4 + -10X5 + 18X5 + 4X6) = 0

Combine like terms: 36X3 + 65X3 = 101X3
(-52X2 + 101X3 + 8X4 + -45X4 + -26X4 + -10X5 + 18X5 + 4X6) = 0

Combine like terms: 8X4 + -45X4 = -37X4
(-52X2 + 101X3 + -37X4 + -26X4 + -10X5 + 18X5 + 4X6) = 0

Combine like terms: -37X4 + -26X4 = -63X4
(-52X2 + 101X3 + -63X4 + -10X5 + 18X5 + 4X6) = 0

Combine like terms: -10X5 + 18X5 = 8X5
(-52X2 + 101X3 + -63X4 + 8X5 + 4X6) = 0

Solving
-52X2 + 101X3 + -63X4 + 8X5 + 4X6 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-52 + 101X + -63X2 + 8X3 + 4X4) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(-52 + 101X + -63X2 + 8X3 + 4X4)' equal to zero and attempt to solve:

Simplifying
-52 + 101X + -63X2 + 8X3 + 4X4 = 0

Solving
-52 + 101X + -63X2 + 8X3 + 4X4 = 0

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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